SSAT Upper Level Math : How to find the perimeter of an acute / obtuse triangle

Study concepts, example questions & explanations for SSAT Upper Level Math

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Example Questions

Example Question #1 : How To Find The Perimeter Of An Acute / Obtuse Triangle

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

Possible Answers:

\displaystyle 14

\displaystyle 12x

\displaystyle 30x

\displaystyle 14x

Correct answer:

\displaystyle 14x

Explanation:

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

\displaystyle 2x+8x+4x=14x

Example Question #2 : How To Find The Perimeter Of An Acute / Obtuse Triangle

The side lengths of a triangle, in inches, are \displaystyle 5, 6, 10. Find the perimeter of this triangle.

Possible Answers:

\displaystyle 11

\displaystyle 20

\displaystyle 19

\displaystyle 21

Correct answer:

\displaystyle 21

Explanation:

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

\displaystyle 5+6+10=21

Example Question #3 : How To Find The Perimeter Of An Acute / Obtuse Triangle

A triangle has side lengths \displaystyle 5\displaystyle 12, and \displaystyle 14. What is the perimeter of this triangle?

Possible Answers:

\displaystyle 19

\displaystyle 31

\displaystyle 26

\displaystyle 36

Correct answer:

\displaystyle 31

Explanation:

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

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

Example Question #4 : How To Find The Perimeter Of An Acute / Obtuse Triangle

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

Possible Answers:

\displaystyle 7x-2

\displaystyle 14x-8

\displaystyle 17x-2

\displaystyle 17x+2

Correct answer:

\displaystyle 17x-2

Explanation:

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

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

Example Question #5 : How To Find The Perimeter Of An Acute / Obtuse Triangle

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

Possible Answers:

\displaystyle 17a-7

\displaystyle 17a-11

\displaystyle 7a-7

\displaystyle 19a+5

Correct answer:

\displaystyle 17a-11

Explanation:

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

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

Example Question #6 : How To Find The Perimeter Of An Acute / Obtuse Triangle

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

Possible Answers:

\displaystyle 6b-4

\displaystyle 2b-4

\displaystyle 6b+4

\displaystyle 2b+4

Correct answer:

\displaystyle 6b-4

Explanation:

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

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

Example Question #7 : How To Find The Perimeter Of An Acute / Obtuse Triangle

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

Possible Answers:

\displaystyle 4c

\displaystyle 4c-1

\displaystyle 5c

\displaystyle 5c+1

Correct answer:

\displaystyle 4c

Explanation:

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

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

Example Question #1 : How To Find The Perimeter Of An Acute / Obtuse Triangle

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

Possible Answers:

\displaystyle 115

\displaystyle 120

\displaystyle 130

\displaystyle 110

Correct answer:

\displaystyle 120

Explanation:

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

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

Example Question #2 : How To Find The Perimeter Of An Acute / Obtuse Triangle

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

Possible Answers:

\displaystyle 31ft

\displaystyle 22ft

\displaystyle 36ft

\displaystyle 35ft

Correct answer:

\displaystyle 31ft

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.

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

Example Question #101 : Properties Of Triangles

Find the perimeter of a triangle with side lengths of \displaystyle 12, 12, 18.

Possible Answers:

\displaystyle 22

\displaystyle 42

\displaystyle 52

\displaystyle 32

Correct answer:

\displaystyle 42

Explanation:

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

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

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