### All SSAT Upper Level Math Resources

## Example Questions

### 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

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:**

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:**

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:**

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:**

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:**

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:**

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

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:**

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

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

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.

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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