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)   (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

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