SSAT Upper Level Math : Properties of Triangles

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

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Example Questions

Example Question #1 : 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 #2 : 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 #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 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 #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 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 #5 : 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 #121 : Properties Of Triangles

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 #7 : 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 #8 : 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 .

Example Question #31 : Acute / Obtuse Triangles

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

5

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 #32 : Acute / Obtuse Triangles

A triangle has side lenghts of , and . The perimeter of this triangle is . Find the length of the shortest side.

Possible Answers:

Correct answer:

Explanation:

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

Now, we plug in the value of  into  to find the length of the shortest side.

The length of the shortest side is .

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