The perimeter of an equilateral triangle is72√3 cm. find its height
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side of equilateral triangle = perimeter / 3
= 72 root 3 / 3 cm
= 24 root 3 cm
as we know , H^2 = B^2 + P^2
(24 root 3)^2 = (12 root 3)^2 + P^2
P^2 = (24 root 3)^2 - (12 root 3)^2
P^2 = 1728 - 432
P^2 = 1296
P = 36 cm
so height of equilateral triangle is 36 cm
= 72 root 3 / 3 cm
= 24 root 3 cm
as we know , H^2 = B^2 + P^2
(24 root 3)^2 = (12 root 3)^2 + P^2
P^2 = (24 root 3)^2 - (12 root 3)^2
P^2 = 1728 - 432
P^2 = 1296
P = 36 cm
so height of equilateral triangle is 36 cm
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