# Equilateral Triangles

This is an MCQ-based quiz for GRE on the topic of Equilateral Triangles.

An equilateral triangle is a triangle with all three sides of equal length, corresponding to what could also be known as a "regular" triangle.

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Find the area of an equilateral triangle when one of its sides equals 4.

4 4√3 8 2√3

One side of an equilateral triangle is equal to 1 Quantity A: The area of the triangle. Quantity B: 1/2

Quantity B is greater. The relationship cannot be determined. Quantity A is greater. The two quantities are equal.

Find the perimeter of an equilateral triangle with a height of 8.

24/√3

None of the answer choices are correct.

24

48/√3

36

If the height of an equilateral triangle is 6, what is the perimeter?

12

9

9√3

6√3

12√3

If area of equilateral triangle is 4√3, what is the perimeter?

4√3

12

8

4

12√3

What is the length of a side of an equilateral triangle if the area is 9√3?

9

6√3

6

3√3/2

√3/2

If the height of the equilateral triangle is 4√2, then what is the length of a side of an equilateral triangle?

4√6

8

4√6/3

8√6/3

8/3

What is the area of an equilateral triangle with a base of 12?

24√3

12√3

72√3

144√3

36√3

An equilateral triangle is inscribed into a circle of radius 10. What is the area of the triangle?

150√3

The answer cannot be determined from the information given.

100π

100π/3

75√3

If the area of an equilateral triangle is 6√3, what is the height of the triangle?

2√3

2√6

3√2/2

√6

3√2

Quiz/Test Summary
Title: Equilateral Triangles
Questions: 10
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