What is the area of an equilateral triangle with an apothem 2cm long and a side 6.9 cm long?

1 Answer
Dec 14, 2015

20.7 "cm"^2

Explanation:

Because your triangle is equilateral, we can use the formula for the area of an regular polygon:

A = 1/2aP

where a is the apothem and P is the perimeter.

The number of sides in a triangle is 3, so P = 3 * 6.9 "cm" = 20.7 "cm".

We've already been given a, so now we can plug in our values:

A = 1/2aP = 1/2(2)(20.7) = 20.7 "cm"^2