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

1 Answer
May 14, 2018

Answer:

#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