SSAT Middle Level Quantitative › How to find perimeter of a triangle
None of these answers are correct.
The perimeter of a shape is the length around the shape. In order to find the perimeter of a triangle, add the lengths of the sides: .
Because the lengths are in inches, the answer must be in inches as well.
Find the perimeter of a triangle with sides ,
, and
.
Perimeter involves adding up all of the sides of the shapes; in this case, it's a triangle. Perimeter equals . Therefore, the answer is
.
A right triangle has legs feet and
feet long. What is its perimeter, in inches?
The length of the hypotenuse of the triangle can be found using the Pythagorean Theorem. Substitute :
feet
Its perimeter is feet. Multiply by 12 to get the perimeter in inches:
inches
Which of these choices can the perimeter of an isosceles triangle possibly be if you know that two sides have lengths 12 and 13?
An isosceles triangle has two sides of equal length. If two sides of an isoscelese triangle are of length 12 and 13, then the third must be of length 12 or 13.
This makes the perimeter either
or
Of our choices, we choose 38.
What is the perimeter, in feet, of an equilateral triangle that has a side of 36 inches?
Given that there are 12 inches in a foot, 36 inches is equal to 3 feet because 36 divided by 12 equals 3.
In an equilateral triangle, each side is equal. Thus, if one side is 3 feet long, that means that each of the other two sides are also 3 feet long.
Add the sides together to find the total perimeter.
The perimeter of the triangle is 9 feet.
The perimeter of an isosceles triangle is 19. What is the possible list of the lengths of the sides?
Since the triangle is an isoscles, two of the sides must be equal. They must also add to . Looking at the possibilities, only
have two sides that are the same length. Now we need to check the triangle inequality to make sure the lengths create a triangle. The triangle inequality is:
Plugging into these inequalities we get:
Therefore, the inequalities hold true thus, creates a triangle. Now we need to look at the sum of the lengths:
Therefore, is the correct answer.
An equilateral triangle has perimeter centimeters. How long is one side?
An equilateral triangle has three sides of equal measure, so divide its perimeter by :
A right triangle with hypotenuse 65 has one leg of length 60. What is its perimeter?
By the Pythagorean Theorem, if and
are the legs of a right triangle and
is its hypotenuse, then
.
Set and solve for
:
The perimeter of the triangle - the sum of the sidelengths - is
.
A triangle has sides feet,
feet, and
feet. Calculate its perimeter.
The perimeter of any figure is the sum of the lengths of the sides: .
What is the perimeter of an equilateral triangle with a side length ?
The perimeter is equal to the sum of the length of the sides. An equilateral triangle has three sides with equal lengths.