Question

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

Answer 1

`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