How to find the perimeter of an acute / obtuse triangle

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SSAT Upper Level Quantitative › How to find the perimeter of an acute / obtuse triangle

Questions 1 - 10

1

A triangle has side lengths , , and . What is the perimeter of this triangle?

Explanation

To find the perimeter of a triangle, add up all the side lengths.

$\text{Perimeter}=5+12+14=31$

2

Bill has a triangular garden that he needs to fence. The garden has side lengths of $\text{9 feet, 10 feet, and 12 feet}$ . In feet, how much fencing will Bill need?

Explanation

To find how much fencing Bill needs, you will need to find the perimeter of the triangle. The perimeter of a triangle is found by adding up all the sides together.

$\text{Perimeter}=9+10+12=31$

3

In terms of , find the perimeter of a triangle with side lengths of $\text{12x, 4x, x-2}$ .

Explanation

To find the perimeter of a triangle, add up all of its sides.

$\text{Perimeter}=12x+4x+x-2=17x-2$

4

The side lengths of a triangle are $2x, 8x, \text{ and } 4x$ . Find the perimeter of the triangle.

Explanation

To find the perimeter of a triangle, add up its side lengths.

5

In terms of , find the perimeter of a triangle with side lengths $\text{5a-2, 3a, 9a-9}$ .

Explanation

To find the perimeter of a triangle, add up all of its sides.

$\text{Perimeter}=5a-2+3a+9a-9=17a-11$

6

In terms of , find the perimeter of a triangle with side lengths of $\text{b+6, b-8, 4b-2}$ .

Explanation

To find the perimeter of a triangle, add up all of its sides.

$\text{Perimeter}=b+6+b-8+4b-2=6b-4$

7

The side lengths of a triangle, in inches, are . Find the perimeter of this triangle.

Explanation

Find the perimeter of a triangle by adding up all its sides.

8

In terms of , find the perimeter of a triangle with side lengths of $\text{3c-9, -c+10, and 2c-1}$ .

Explanation

To find the perimeter of a triangle, add up all of its sides.

$\text{Perimeter}=3c-9-c+10+2c-1=4c$

9

Find the perimeter of a triangle with side lengths of .

Explanation

To find the perimeter of a triangle, add up all of its sides.

$\text{Perimeter}=12+12+18=42$

10

Find the perimeter of a triangle with side lengths $45, 40,\text{ and }35$ .

Explanation

To find the perimeter of a triangle, add up all of its sides.

$\text{Perimeter}=45+35+40=120$

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