What is the area of an equilateral triangle with a perimeter of 6 inches?

1 Answer
May 14, 2018

A = sqrt(3)

Explanation:

An equilateral triangle has 3 sides and all the measures of its sides will be equal. So, if the perimeter, the sum of the measure of its sides, is 6, you must divide by the number of sides, 3, to get the answer:

6/3 = 2, so each side is 2 inches.

A = (a^2sqrt(3))/4, where a is the side. Plug in your variable, 2.

A = (2^2sqrt(3))/4

A=(color(red)(cancel(color(black)("4")))sqrt(3))/(color(red)(cancel(color(black)("4"))))

A = sqrt(3)

Source:
https://duckduckgo.com/?q=equilateral+triangle+area&atb=v53-7__&ia=answer