SSAT Upper Level Math : Equilateral Triangles

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

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Example Questions

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Example Question #58 : Properties Of Triangles

An equilateral triangle has a perimeter of  units. What is the length of each side?

Possible Answers:

 units

 units

 units

 units

Correct answer:

 units

Explanation:

Because an equilateral triangle has three sides that are the same length, divide the given perimeter by 3 to find the length of each side.

Example Question #1 : Equilateral Triangles

The perimeter of a equilateral triangle is . In meters, what is the length of a side of this triangle?

Possible Answers:

Correct answer:

Explanation:

Since all three sides are equal in an equilateral triangle, we can just divide the perimeter by 3 to find a side length.

Example Question #1 : How To Find The Length Of The Side Of An Equilateral Triangle

The perimeter of an equilateral triangle is . What is the length of a side of this triangle?

Possible Answers:

Correct answer:

Explanation:

Because all the sides in an equilateral triangle are equal, we can just divide the perimeter by 3 to find the length of a side.

Example Question #1 : How To Find The Length Of The Side Of An Equilateral Triangle

The perimeter of an equilateral triangle is . What is the length of one side of the triangle?

Possible Answers:

Correct answer:

Explanation:

Since an equilateral triangle has sides that are all the same, divide the perimeter by  to get the length of each side.

Example Question #64 : Properties Of Triangles

The perimeter of an equilateral triangle is 39 meters. In meters, how long is one side of the triangle?

Possible Answers:

Correct answer:

Explanation:

An equilateral triangle has sides that are the same length. Then, to find the length of one side, you only need to divide the perimeter by 3.

Example Question #65 : Properties Of Triangles

The perimeter of an equilateral triangle is . What is the length of one side of this triangle?

Possible Answers:

Correct answer:

Explanation:

Since an equilateral triangle has three equal sides, divide the perimeter by  to find the length of each side.

Example Question #66 : Properties Of Triangles

The perimeter of an equilateral triangle is . What is the length of one side of this triangle?

Possible Answers:

Correct answer:

Explanation:

Since an equilateral triangle has three equal sides, divide the perimeter by  to find the length of one side.

Example Question #1 : Equilateral Triangles

What is the difference between an equilateral triangle and a scalene triangle? 

Possible Answers:

Their color 

The number of side lengths 

The length of their sides

The sum of their angle measurements

The sum of their side lengths 

Correct answer:

The length of their sides

Explanation:

Of the choices listed, the main difference between an equilateral triangle and a scalene triangle is their side lengths. An equilateral triangle has to have  equal sides, but a scalene triangle can have all different side lengths. 

Example Question #61 : Properties Of Triangles

An equilateral triangle is circumscribed about a circle of radius 16. Give the area of the triangle.

Possible Answers:

The correct answer is not among the other choices.

Correct answer:

Explanation:

The circle and triangle referenced are below, along with a radius to one side and a segment to one vertex:

Equilateral

 is a 30-60-90 triangle, so 

 is one-half of a side of the triangle, so the sidelength is . The area of the triangle is

Example Question #1 : How To Find The Area Of An Equilateral Triangle

Equilateral

In the above diagram,  is equilateral. Give its area.

Possible Answers:

The correct answer is not among the other responses.

Correct answer:

The correct answer is not among the other responses.

Explanation:

The interior angles of an equilateral triangle all measure 60 degrees, so, by the 30-60-90 Theorem, 

Also,  is the midpoint of , so ; this is the base.

The area of this triangle is half the product of the base  and the height :

This answer is not among the given choices.

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