Question

A piece of art is in the shape of an equilateral triangle with sides of 7 inches each. Find the area of the piece of art to the nearest tenth. Explain how you know.

Answer 1

21.2 in²

Explanation:

The area of an equilateral triangle is given as :

Area, A = √3/4 * a²

Where, a = side length of the equilateral triangle

a = 7 inches ; Recall that all sides of an equilateral triangle are the same.

Put a = 7 in the equation :

A = √3/4 * a²

A = √3/4 * 7²

A = 0.4330127 * 49

A = 21.217 in²

Area, A = 21.2 in²