How to find the length of the hypotenuse of an acute / obtuse triangle - Math
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An acute scalene triangle has one side length of 
inches and another of 
inches. Find the length of the hypotenuse.
An acute scalene triangle has one side length of
To find the length of the hypotenuse, apply the Pythagorean Theorem: 
, where 
the length of the hypotenuse.
Thus, the solution is:
To find the length of the hypotenuse, apply the Pythagorean Theorem:
Thus, the solution is:
Compare your answer with the correct one above
Find the hypotenuse of the obtuse isosceles triangle shown above.
Find the hypotenuse of the obtuse isosceles triangle shown above.
To find the length of the hypotenuse, apply the Pythagorean Theorem: 
, where 
the length of the hypotenuse.
Thus, the solution is:
To find the length of the hypotenuse, apply the Pythagorean Theorem:
Thus, the solution is:
Compare your answer with the correct one above
A scalene triangle has one side length of 
yards and another side length of 
yards. Find the hypotenuse.
A scalene triangle has one side length of
To find the length of the hypotenuse, apply the Pythagorean Theorem: 
, where 
the length of the hypotenuse.
Thus, the solution is:
To find the length of the hypotenuse, apply the Pythagorean Theorem:
Thus, the solution is:
Compare your answer with the correct one above
Find the hypotenuse of the obtuse isosceles triangle shown above.
Find the hypotenuse of the obtuse isosceles triangle shown above.
To find the length of the hypotenuse, apply the Pythagorean Theorem: 
, where 
the length of the hypotenuse.
Thus, the solution is:
To find the length of the hypotenuse, apply the Pythagorean Theorem:
Thus, the solution is:
Compare your answer with the correct one above
A scalene right triangle has one side length of 
inches and another side length of 
inches. Find the length of the hypotenuse.
A scalene right triangle has one side length of
To find the length of the hypotenuse, apply the Pythagorean Theorem: 
, where 
the length of the hypotenuse.
Thus, the solution is:
To find the length of the hypotenuse, apply the Pythagorean Theorem:
Thus, the solution is:
Compare your answer with the correct one above
An isosceles right triangle has two sides with a length of 
inches each. Find the length of the hypotenuse.
An isosceles right triangle has two sides with a length of
To find the length of the hypotenuse, apply the Pythagorean Theorem: 
, where 
the length of the hypotenuse.
Thus, the solution is:
To find the length of the hypotenuse, apply the Pythagorean Theorem:
Thus, the solution is:
Compare your answer with the correct one above
An isosceles triangle has an area of 12. If the ratio of the base to the height is 3:2, what is the length of the two equal sides?
An isosceles triangle has an area of 12. If the ratio of the base to the height is 3:2, what is the length of the two equal sides?
Area of a triangle is ½ x base x height. Since base:height = 3:2, base = 1.5 height. Area = 12 = ½ x 1.5 height x height or 24/1.5 = height2. Height = 4. Base = 1.5 height = 6. Half the base and the height form the legs of a right triangle, with an equal leg of the isosceles triangle as the hypotenuse. This is a 3-4-5 right triangle.
Area of a triangle is ½ x base x height. Since base:height = 3:2, base = 1.5 height. Area = 12 = ½ x 1.5 height x height or 24/1.5 = height2. Height = 4. Base = 1.5 height = 6. Half the base and the height form the legs of a right triangle, with an equal leg of the isosceles triangle as the hypotenuse. This is a 3-4-5 right triangle.
Compare your answer with the correct one above
Two sides of a triangle each have length 6. All of the following could be the length of the third side EXCEPT
Two sides of a triangle each have length 6. All of the following could be the length of the third side EXCEPT
This question is about the Triangle Inequality, which states that in a triangle with two sides A and B, the third side must be greater than the absolute value of the difference between A and B and smaller than the sum of A and B.
Applying the Triangle Inequality to this problem, we see that the third side must be greater than the absolute value of the difference between the other two sides, which is |6-6|=0, and smaller than the sum of the two other sides, which is 6+6=12. The only answer choice that does not satisfy this range of possible values is 12 since the third side must be LESS than 12.
This question is about the Triangle Inequality, which states that in a triangle with two sides A and B, the third side must be greater than the absolute value of the difference between A and B and smaller than the sum of A and B.
Applying the Triangle Inequality to this problem, we see that the third side must be greater than the absolute value of the difference between the other two sides, which is |6-6|=0, and smaller than the sum of the two other sides, which is 6+6=12. The only answer choice that does not satisfy this range of possible values is 12 since the third side must be LESS than 12.
Compare your answer with the correct one above
An acute scalene triangle has one side length of inches and another of inches. Find the length of the hypotenuse.
An acute scalene triangle has one side length of
To find the length of the hypotenuse, apply the Pythagorean Theorem: , where the length of the hypotenuse.
Thus, the solution is:
To find the length of the hypotenuse, apply the Pythagorean Theorem:
Thus, the solution is:
Compare your answer with the correct one above
Find the hypotenuse of the obtuse isosceles triangle shown above.
Find the hypotenuse of the obtuse isosceles triangle shown above.
To find the length of the hypotenuse, apply the Pythagorean Theorem: , where the length of the hypotenuse.
Thus, the solution is:
To find the length of the hypotenuse, apply the Pythagorean Theorem:
Thus, the solution is:
Compare your answer with the correct one above
A scalene triangle has one side length of yards and another side length of yards. Find the hypotenuse.
A scalene triangle has one side length of
To find the length of the hypotenuse, apply the Pythagorean Theorem: , where the length of the hypotenuse.
Thus, the solution is:
To find the length of the hypotenuse, apply the Pythagorean Theorem:
Thus, the solution is:
Compare your answer with the correct one above
Find the hypotenuse of the obtuse isosceles triangle shown above.
Find the hypotenuse of the obtuse isosceles triangle shown above.
To find the length of the hypotenuse, apply the Pythagorean Theorem: , where the length of the hypotenuse.
Thus, the solution is:
To find the length of the hypotenuse, apply the Pythagorean Theorem:
Thus, the solution is:
Compare your answer with the correct one above
A scalene right triangle has one side length of inches and another side length of inches. Find the length of the hypotenuse.
A scalene right triangle has one side length of
To find the length of the hypotenuse, apply the Pythagorean Theorem: , where the length of the hypotenuse.
Thus, the solution is:
To find the length of the hypotenuse, apply the Pythagorean Theorem:
Thus, the solution is:
Compare your answer with the correct one above
An isosceles right triangle has two sides with a length of inches each. Find the length of the hypotenuse.
An isosceles right triangle has two sides with a length of
To find the length of the hypotenuse, apply the Pythagorean Theorem: , where the length of the hypotenuse.
Thus, the solution is:
To find the length of the hypotenuse, apply the Pythagorean Theorem:
Thus, the solution is:
Compare your answer with the correct one above
An isosceles triangle has an area of 12. If the ratio of the base to the height is 3:2, what is the length of the two equal sides?
An isosceles triangle has an area of 12. If the ratio of the base to the height is 3:2, what is the length of the two equal sides?
Area of a triangle is ½ x base x height. Since base:height = 3:2, base = 1.5 height. Area = 12 = ½ x 1.5 height x height or 24/1.5 = height2. Height = 4. Base = 1.5 height = 6. Half the base and the height form the legs of a right triangle, with an equal leg of the isosceles triangle as the hypotenuse. This is a 3-4-5 right triangle.
Area of a triangle is ½ x base x height. Since base:height = 3:2, base = 1.5 height. Area = 12 = ½ x 1.5 height x height or 24/1.5 = height2. Height = 4. Base = 1.5 height = 6. Half the base and the height form the legs of a right triangle, with an equal leg of the isosceles triangle as the hypotenuse. This is a 3-4-5 right triangle.
Compare your answer with the correct one above
Two sides of a triangle each have length 6. All of the following could be the length of the third side EXCEPT
Two sides of a triangle each have length 6. All of the following could be the length of the third side EXCEPT
This question is about the Triangle Inequality, which states that in a triangle with two sides A and B, the third side must be greater than the absolute value of the difference between A and B and smaller than the sum of A and B.
Applying the Triangle Inequality to this problem, we see that the third side must be greater than the absolute value of the difference between the other two sides, which is |6-6|=0, and smaller than the sum of the two other sides, which is 6+6=12. The only answer choice that does not satisfy this range of possible values is 12 since the third side must be LESS than 12.
This question is about the Triangle Inequality, which states that in a triangle with two sides A and B, the third side must be greater than the absolute value of the difference between A and B and smaller than the sum of A and B.
Applying the Triangle Inequality to this problem, we see that the third side must be greater than the absolute value of the difference between the other two sides, which is |6-6|=0, and smaller than the sum of the two other sides, which is 6+6=12. The only answer choice that does not satisfy this range of possible values is 12 since the third side must be LESS than 12.
Compare your answer with the correct one above
An acute scalene triangle has one side length of inches and another of inches. Find the length of the hypotenuse.
An acute scalene triangle has one side length of
To find the length of the hypotenuse, apply the Pythagorean Theorem: , where the length of the hypotenuse.
Thus, the solution is:
To find the length of the hypotenuse, apply the Pythagorean Theorem:
Thus, the solution is:
Compare your answer with the correct one above
Find the hypotenuse of the obtuse isosceles triangle shown above.
Find the hypotenuse of the obtuse isosceles triangle shown above.
To find the length of the hypotenuse, apply the Pythagorean Theorem: , where the length of the hypotenuse.
Thus, the solution is:
To find the length of the hypotenuse, apply the Pythagorean Theorem:
Thus, the solution is:
Compare your answer with the correct one above
A scalene triangle has one side length of yards and another side length of yards. Find the hypotenuse.
A scalene triangle has one side length of
To find the length of the hypotenuse, apply the Pythagorean Theorem: , where the length of the hypotenuse.
Thus, the solution is:
To find the length of the hypotenuse, apply the Pythagorean Theorem:
Thus, the solution is:
Compare your answer with the correct one above
Find the hypotenuse of the obtuse isosceles triangle shown above.
Find the hypotenuse of the obtuse isosceles triangle shown above.
To find the length of the hypotenuse, apply the Pythagorean Theorem: , where the length of the hypotenuse.
Thus, the solution is:
To find the length of the hypotenuse, apply the Pythagorean Theorem:
Thus, the solution is:
Compare your answer with the correct one above