### All GRE Math Resources

## Example Questions

### Example Question #1 : Equilateral Triangles

What is the length of a side of an equilateral triangle if the area is ?

**Possible Answers:**

**Correct answer:**

Explanation:

The area of an equilateral triangle is .

So let's set-up an equation to solve for .

Cross multiply.

The cancels out and we get .

Then take square root on both sides and we get as the final answer.

### Example Question #2 : Equilateral Triangles

If the height of the equilateral triangle is , then what is the length of a side of an equilateral triangle?

**Possible Answers:**

**Correct answer:**

Explanation:

By having a height in an equilateral triangle, the angle is bisected therefore creating two triangles.

The height is opposite the angle . We can set-up a proportion.

Side opposite is and the side of equilateral triangle which is opposite is .

Cross multiply.

Divide both sides by

Multiply top and bottom by to get rid of the radical.

### All GRE Math Resources

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