How to find the height of of an acute / obtuse isosceles triangle - Math
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An isosceles triangle has a base of 12 cm and an area of 42 $cm^{2}$. What must be the height of this triangle?
An isosceles triangle has a base of 12 cm and an area of 42 $cm^{2}$. What must be the height of this triangle?
Tap to reveal answer
A=\frac{1}{2}$bh.
6x=42
x=7
A=\frac{1}{2}$bh.
6x=42
x=7
← Didn't Know|Knew It →
An isosceles triangle has a base of 12 cm and an area of 42 $cm^{2}$. What must be the height of this triangle?
An isosceles triangle has a base of 12 cm and an area of 42 $cm^{2}$. What must be the height of this triangle?
Tap to reveal answer
A=\frac{1}{2}$bh.
6x=42
x=7
A=\frac{1}{2}$bh.
6x=42
x=7
← Didn't Know|Knew It →
An isosceles triangle has a perimeter of 
. If the base of the triangle is two less than two times the length of each leg, what is the height of the triangle?
An isosceles triangle has a perimeter of
Tap to reveal answer
First, find the lengths of the triangle.
Let 
be the length of each leg. Then, the length of the base must be 
.
Use the information given about the perimeter to solve for 
.
Plug this value in to find the length of the base.
Now, recall that the height of an isosceles triangle can split the entire triangle into two congruent right triangle as shown by the figure below.
Thus, we can use the Pythagorean Theorem to find the length of the height.
Plug in the given values to find the height of the triangle.
Make sure to round to 
places after the decimal.
First, find the lengths of the triangle.
Let
Use the information given about the perimeter to solve for
Plug this value in to find the length of the base.
Now, recall that the height of an isosceles triangle can split the entire triangle into two congruent right triangle as shown by the figure below.
Thus, we can use the Pythagorean Theorem to find the length of the height.
Plug in the given values to find the height of the triangle.
Make sure to round to
← Didn't Know|Knew It →
An isosceles triangle has a perimeter of 
. If the base of the triangle is 
less than three times the length of a leg, what is the height of the triangle?
An isosceles triangle has a perimeter of
Tap to reveal answer
First, find the lengths of the triangle.
Let 
be the length of each leg. Then, the length of the base must be 
.
Use the information given about the perimeter to solve for 
.
Plug this value in to find the length of the base.
Now, recall that the height of an isosceles triangle can split the entire triangle into two congruent right triangle as shown by the figure below.
Thus, we can use the Pythagorean Theorem to find the length of the height.
Plug in the given values to find the height of the triangle.
Make sure to round to 
places after the decimal.
First, find the lengths of the triangle.
Let
Use the information given about the perimeter to solve for
Plug this value in to find the length of the base.
Now, recall that the height of an isosceles triangle can split the entire triangle into two congruent right triangle as shown by the figure below.
Thus, we can use the Pythagorean Theorem to find the length of the height.
Plug in the given values to find the height of the triangle.
Make sure to round to
← Didn't Know|Knew It →
An isosceles triangle has a perimeter of 
. If the length of the base is one less than twice the length of a leg, what is the height of the triangle?
An isosceles triangle has a perimeter of
Tap to reveal answer
First, find the lengths of the triangle.
Let 
be the length of each leg. Then, the length of the base must be 
.
Use the information given about the perimeter to solve for 
.
Plug this value in to find the length of the base.
Now, recall that the height of an isosceles triangle can split the entire triangle into two congruent right triangle as shown by the figure below.
Thus, we can use the Pythagorean Theorem to find the length of the height.
Plug in the given values to find the height of the triangle.
Make sure to round to 
places after the decimal.
First, find the lengths of the triangle.
Let
Use the information given about the perimeter to solve for
Plug this value in to find the length of the base.
Now, recall that the height of an isosceles triangle can split the entire triangle into two congruent right triangle as shown by the figure below.
Thus, we can use the Pythagorean Theorem to find the length of the height.
Plug in the given values to find the height of the triangle.
Make sure to round to
← Didn't Know|Knew It →
An isosceles triangle has a perimeter of 
. If the length of the base is fourteen less than three times the length of a leg, what is the height of the triangle?
An isosceles triangle has a perimeter of
Tap to reveal answer
First, find the lengths of the triangle.
Let 
be the length of each leg. Then, the length of the base must be 
.
Use the information given about the perimeter to solve for 
.
Plug this value in to find the length of the base.
Now, recall that the height of an isosceles triangle can split the entire triangle into two congruent right triangle as shown by the figure below.
Thus, we can use the Pythagorean Theorem to find the length of the height.
Plug in the given values to find the height of the triangle.
Make sure to round to 
places after the decimal.
First, find the lengths of the triangle.
Let
Use the information given about the perimeter to solve for
Plug this value in to find the length of the base.
Now, recall that the height of an isosceles triangle can split the entire triangle into two congruent right triangle as shown by the figure below.
Thus, we can use the Pythagorean Theorem to find the length of the height.
Plug in the given values to find the height of the triangle.
Make sure to round to
← Didn't Know|Knew It →
An isosceles triangle has a perimeter of 
. If the length of the base is seven more than one-seventh of the length of a leg, what is the height of the triangle?
An isosceles triangle has a perimeter of
Tap to reveal answer
First, find the lengths of the triangle.
Let 
be the length of each leg. Then, the length of the base must be 
.
Use the information given about the perimeter to solve for 
.
Plug this value in to find the length of the base.
Now, recall that the height of an isosceles triangle can split the entire triangle into two congruent right triangle as shown by the figure below.
Thus, we can use the Pythagorean Theorem to find the length of the height.
Plug in the given values to find the height of the triangle.
Make sure to round to 
places after the decimal.
First, find the lengths of the triangle.
Let
Use the information given about the perimeter to solve for
Plug this value in to find the length of the base.
Now, recall that the height of an isosceles triangle can split the entire triangle into two congruent right triangle as shown by the figure below.
Thus, we can use the Pythagorean Theorem to find the length of the height.
Plug in the given values to find the height of the triangle.
Make sure to round to
← Didn't Know|Knew It →
An isosceles triangle has a perimeter of 
. If the length of the base is two less than one-third of the length of a leg, what is the height of the triangle?
An isosceles triangle has a perimeter of
Tap to reveal answer
First, find the lengths of the triangle.
Let 
be the length of each leg. Then, the length of the base must be 
.
Use the information given about the perimeter to solve for 
.
Plug this value in to find the length of the base.
Now, recall that the height of an isosceles triangle can split the entire triangle into two congruent right triangle as shown by the figure below.
Thus, we can use the Pythagorean Theorem to find the length of the height.
Plug in the given values to find the height of the triangle.
Make sure to round to 
places after the decimal.
First, find the lengths of the triangle.
Let
Use the information given about the perimeter to solve for
Plug this value in to find the length of the base.
Now, recall that the height of an isosceles triangle can split the entire triangle into two congruent right triangle as shown by the figure below.
Thus, we can use the Pythagorean Theorem to find the length of the height.
Plug in the given values to find the height of the triangle.
Make sure to round to
← Didn't Know|Knew It →
An isosceles triangle has a perimeter of 
. If the length of the base is ten less than twice the length of a leg, what is the height of the triangle?
An isosceles triangle has a perimeter of
Tap to reveal answer
First, find the lengths of the triangle.
Let 
be the length of each leg. Then, the length of the base must be 
.
Use the information given about the perimeter to solve for 
.
Plug this value in to find the length of the base.
Now, recall that the height of an isosceles triangle can split the entire triangle into two congruent right triangle as shown by the figure below.
Thus, we can use the Pythagorean Theorem to find the length of the height.
Plug in the given values to find the height of the triangle.
Make sure to round to 
places after the decimal.
First, find the lengths of the triangle.
Let
Use the information given about the perimeter to solve for
Plug this value in to find the length of the base.
Now, recall that the height of an isosceles triangle can split the entire triangle into two congruent right triangle as shown by the figure below.
Thus, we can use the Pythagorean Theorem to find the length of the height.
Plug in the given values to find the height of the triangle.
Make sure to round to
← Didn't Know|Knew It →
An isosceles triangle has a perimeter of 
. If the length of the base is four more than one-third of the length of a leg, what is the height of the triangle?
An isosceles triangle has a perimeter of
Tap to reveal answer
First, find the lengths of the triangle.
Let 
be the length of each leg. Then, the length of the base must be 
.
Use the information given about the perimeter to solve for 
.
Plug this value in to find the length of the base.
Now, recall that the height of an isosceles triangle can split the entire triangle into two congruent right triangle as shown by the figure below.
Thus, we can use the Pythagorean Theorem to find the length of the height.
Plug in the given values to find the height of the triangle.
Make sure to round to 
places after the decimal.
First, find the lengths of the triangle.
Let
Use the information given about the perimeter to solve for
Plug this value in to find the length of the base.
Now, recall that the height of an isosceles triangle can split the entire triangle into two congruent right triangle as shown by the figure below.
Thus, we can use the Pythagorean Theorem to find the length of the height.
Plug in the given values to find the height of the triangle.
Make sure to round to
← Didn't Know|Knew It →
The perimeter of an isosceles triangle is 
. If the length of the base is five more than one-fourth the length of a leg, what is the height of the triangle?
The perimeter of an isosceles triangle is
Tap to reveal answer
First, find the lengths of the triangle.
Let 
be the length of each leg. Then, the length of the base must be 
.
Use the information given about the perimeter to solve for 
.
Plug this value in to find the length of the base.
Now, recall that the height of an isosceles triangle can split the entire triangle into two congruent right triangle as shown by the figure below.
Thus, we can use the Pythagorean Theorem to find the length of the height.
Plug in the given values to find the height of the triangle.
Make sure to round to 
places after the decimal.
First, find the lengths of the triangle.
Let
Use the information given about the perimeter to solve for
Plug this value in to find the length of the base.
Now, recall that the height of an isosceles triangle can split the entire triangle into two congruent right triangle as shown by the figure below.
Thus, we can use the Pythagorean Theorem to find the length of the height.
Plug in the given values to find the height of the triangle.
Make sure to round to
← Didn't Know|Knew It →
The perimeter of an isosceles triangle is 
. If the length of the base is ten more than one-eighth the length of a leg, what is the height of the triangle?
The perimeter of an isosceles triangle is
Tap to reveal answer
First, find the lengths of the triangle.
Let 
be the length of each leg. Then, the length of the base must be 
.
Use the information given about the perimeter to solve for 
.
Plug this value in to find the length of the base.
Now, recall that the height of an isosceles triangle can split the entire triangle into two congruent right triangle as shown by the figure below.
Thus, we can use the Pythagorean Theorem to find the length of the height.
Plug in the given values to find the height of the triangle.
Make sure to round to 
places after the decimal.
First, find the lengths of the triangle.
Let
Use the information given about the perimeter to solve for
Plug this value in to find the length of the base.
Now, recall that the height of an isosceles triangle can split the entire triangle into two congruent right triangle as shown by the figure below.
Thus, we can use the Pythagorean Theorem to find the length of the height.
Plug in the given values to find the height of the triangle.
Make sure to round to
← Didn't Know|Knew It →
The perimeter of an isosceles triangle is 
. If the length of the base is eleven less than twice the length of a leg, what is the height of the triangle?
The perimeter of an isosceles triangle is
Tap to reveal answer
First, find the lengths of the triangle.
Let 
be the length of each leg. Then, the length of the base must be 
.
Use the information given about the perimeter to solve for 
.
Plug this value in to find the length of the base.
Now, recall that the height of an isosceles triangle can split the entire triangle into two congruent right triangle as shown by the figure below.
Thus, we can use the Pythagorean Theorem to find the length of the height.
Plug in the given values to find the height of the triangle.
Make sure to round to 
places after the decimal.
First, find the lengths of the triangle.
Let
Use the information given about the perimeter to solve for
Plug this value in to find the length of the base.
Now, recall that the height of an isosceles triangle can split the entire triangle into two congruent right triangle as shown by the figure below.
Thus, we can use the Pythagorean Theorem to find the length of the height.
Plug in the given values to find the height of the triangle.
Make sure to round to
← Didn't Know|Knew It →
The perimeter of an isosceles triangle is 
. If the length of the base is fifteen more than one-third the length of a leg, what is the height of the triangle?
The perimeter of an isosceles triangle is
Tap to reveal answer
First, find the lengths of the triangle.
Let 
be the length of each leg. Then, the length of the base must be 
.
Use the information given about the perimeter to solve for 
.
Plug this value in to find the length of the base.
Now, recall that the height of an isosceles triangle can split the entire triangle into two congruent right triangle as shown by the figure below.
Thus, we can use the Pythagorean Theorem to find the length of the height.
Plug in the given values to find the height of the triangle.
Make sure to round to 
places after the decimal.
First, find the lengths of the triangle.
Let
Use the information given about the perimeter to solve for
Plug this value in to find the length of the base.
Now, recall that the height of an isosceles triangle can split the entire triangle into two congruent right triangle as shown by the figure below.
Thus, we can use the Pythagorean Theorem to find the length of the height.
Plug in the given values to find the height of the triangle.
Make sure to round to
← Didn't Know|Knew It →
An isosceles triangle has a base of 12 cm and an area of 42 $cm^{2}$. What must be the height of this triangle?
An isosceles triangle has a base of 12 cm and an area of 42 $cm^{2}$. What must be the height of this triangle?
Tap to reveal answer
A=\frac{1}{2}$bh.
6x=42
x=7
A=\frac{1}{2}$bh.
6x=42
x=7
← Didn't Know|Knew It →
An isosceles triangle has a base of 12 cm and an area of 42 $cm^{2}$. What must be the height of this triangle?
An isosceles triangle has a base of 12 cm and an area of 42 $cm^{2}$. What must be the height of this triangle?
Tap to reveal answer
A=\frac{1}{2}$bh.
6x=42
x=7
A=\frac{1}{2}$bh.
6x=42
x=7
← Didn't Know|Knew It →
An isosceles triangle has a base of 12 cm and an area of 42 $cm^{2}$. What must be the height of this triangle?
An isosceles triangle has a base of 12 cm and an area of 42 $cm^{2}$. What must be the height of this triangle?
Tap to reveal answer
A=\frac{1}{2}$bh.
6x=42
x=7
A=\frac{1}{2}$bh.
6x=42
x=7
← Didn't Know|Knew It →
An isosceles triangle has a perimeter of . If the base of the triangle is two less than two times the length of each leg, what is the height of the triangle?
An isosceles triangle has a perimeter of
Tap to reveal answer
First, find the lengths of the triangle.
Let be the length of each leg. Then, the length of the base must be .
Use the information given about the perimeter to solve for .
Plug this value in to find the length of the base.
Now, recall that the height of an isosceles triangle can split the entire triangle into two congruent right triangle as shown by the figure below.
Thus, we can use the Pythagorean Theorem to find the length of the height.
Plug in the given values to find the height of the triangle.
Make sure to round to places after the decimal.
First, find the lengths of the triangle.
Let
Use the information given about the perimeter to solve for
Plug this value in to find the length of the base.
Now, recall that the height of an isosceles triangle can split the entire triangle into two congruent right triangle as shown by the figure below.
Thus, we can use the Pythagorean Theorem to find the length of the height.
Plug in the given values to find the height of the triangle.
Make sure to round to
← Didn't Know|Knew It →
An isosceles triangle has a perimeter of . If the base of the triangle is less than three times the length of a leg, what is the height of the triangle?
An isosceles triangle has a perimeter of
Tap to reveal answer
First, find the lengths of the triangle.
Let be the length of each leg. Then, the length of the base must be .
Use the information given about the perimeter to solve for .
Plug this value in to find the length of the base.
Now, recall that the height of an isosceles triangle can split the entire triangle into two congruent right triangle as shown by the figure below.
Thus, we can use the Pythagorean Theorem to find the length of the height.
Plug in the given values to find the height of the triangle.
Make sure to round to places after the decimal.
First, find the lengths of the triangle.
Let
Use the information given about the perimeter to solve for
Plug this value in to find the length of the base.
Now, recall that the height of an isosceles triangle can split the entire triangle into two congruent right triangle as shown by the figure below.
Thus, we can use the Pythagorean Theorem to find the length of the height.
Plug in the given values to find the height of the triangle.
Make sure to round to
← Didn't Know|Knew It →
An isosceles triangle has a perimeter of . If the length of the base is one less than twice the length of a leg, what is the height of the triangle?
An isosceles triangle has a perimeter of
Tap to reveal answer
First, find the lengths of the triangle.
Let be the length of each leg. Then, the length of the base must be .
Use the information given about the perimeter to solve for .
Plug this value in to find the length of the base.
Now, recall that the height of an isosceles triangle can split the entire triangle into two congruent right triangle as shown by the figure below.
Thus, we can use the Pythagorean Theorem to find the length of the height.
Plug in the given values to find the height of the triangle.
Make sure to round to places after the decimal.
First, find the lengths of the triangle.
Let
Use the information given about the perimeter to solve for
Plug this value in to find the length of the base.
Now, recall that the height of an isosceles triangle can split the entire triangle into two congruent right triangle as shown by the figure below.
Thus, we can use the Pythagorean Theorem to find the length of the height.
Plug in the given values to find the height of the triangle.
Make sure to round to
← Didn't Know|Knew It →