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

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

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Example Questions

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

The perimeter of a triangle is . If one side has the length , and another side has the length , what is the length of the third side?

Possible Answers:

Correct answer:

Explanation:

The perimeter is the length of all the sides added up.

Using the information given in the question,

Now, solve for side 3.

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

If the perimeter of the triangle is  and two of the sides are given in the figure below, what is the length of the third side?

1

Possible Answers:

Correct answer:

Explanation:

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

Let  be the length of the third side.

The length of the third side is .

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

The perimeter of the triangle is , and two of the sides are already given. What is the length of the third side?

2

Possible Answers:

Correct answer:

Explanation:

Add up all the sides to find the perimeter of the triangle.

Let  be the length of the third side.

The length of the third side is .

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

The perimeter of the triangle is , and two of the sides are already given. What is the length of the third side?

3

Possible Answers:

Correct answer:

Explanation:

Add up all the sides to find the perimeter of the triangle.

Let  be the length of the third side.

The length of the third side is .

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

The perimeter of the triangle is , and two of the sides are given. What is the length of the third side?

4

Possible Answers:

Correct answer:

Explanation:

Add up all the sides to find the perimeter of the triangle.

Let  be the length of the third side.

The length of the third side is .

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

The perimeter of the triangle is , and two of the sides are given. Find the length of the third side.

6

Possible Answers:

Correct answer:

Explanation:

Add up all the sides to find the perimeter of the triangle.

Let  be the length of the third side.

The length of the third side is .

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

A triangle with a perimeter of  has side lengths of . Find the length of the longest side.

Possible Answers:

Correct answer:

Explanation:

Add up all the sides to find the perimeter.

Now, plug in the value of  to find the lengths of the triangle, then choose the largest one.

Example Question #8 : How To Find The Length Of The Side Of An Acute / Obtuse Triangle

A triangle with a perimeter of  has side lengths of . Find the length of the shortest side.

Possible Answers:

Correct answer:

Explanation:

Add up all the sides to find the perimeter.

.

Now, subsitute the value of  to find the lengths of the sides, then choose the longest side.

Example Question #9 : How To Find The Length Of The Side Of An Acute / Obtuse Triangle

The perimeter for the triangle is , and two sides are given. Find the length of the third side.

7

Possible Answers:

Correct answer:

Explanation:

Add up all the sides to find the perimeter.

Let  be the length of the third side.

The length of the third side is .

Example Question #10 : How To Find The Length Of The Side Of An Acute / Obtuse Triangle

The perimeter of the triangle is , and two of the sides are given. What is the length of the third side?

8

Possible Answers:

Correct answer:

Explanation:

Add up all the sides to find the perimeter.

Let  be the length of the third side.

The length of the third side is .

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