How to find the length of the side of an equilateral triangle

Practice Questions

PSAT Math › How to find the length of the side of an equilateral triangle

Questions
7
1

Two triangles have the same area. One is an equilateral triangle. The other is a right triangle with hypotenuse 12 and one leg of length 8. Give the sidelength of the equilateral triangle to the nearest tenth.

2

An equilateral triangle has the same area as a circle with circumference 100. To the nearest tenth, give the sidelength of the triangle.

3

A regular hexagon and an equilateral triangle have the same area. Call the side length of the hexagon . Give the side length of the equilateral triangle in terms of .

4

Two triangles have the same area. One is an equilateral triangle. The other is a right triangle with hypotenuse . Give the sidelength of the equilateral triangle in terms of .

5

A square and an equilateral triangle have the same area. Call the side length of the square . Give the side length of the equilateral triangle in terms of .

6

Which of the following describes a triangle with sides of length one meter, 100 centimeters, and 10 decimeters?

7

Two triangles have the same area. One is an equilateral triangle. The other is an isosceles right triangle with hypotenuse . Give the sidelength of the equilateral triangle in terms of .

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