SOLUTION: find area of equilateral triangle of side 4a using heron’s formula. using this formula find area of an equilateral triangle whose perimeter is 540cm.

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Question 312226: find area of equilateral triangle of side 4a using heron’s formula. using this formula find area of an equilateral triangle whose perimeter is 540cm.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
heron's formula
area of triangle = sqrt(s(s-a)(s-b)(s-c))
s= half perimeter = 4a+4a+4a /2 = 6a
Area = sqrt(6a(2a)(2a)(2a))
area = sqrt48a^4.
.
perimeter = 540
side = 180
s=270
area =sqrt(270(90)(90)(90))
=14029.26 sq cm