the perimeter of an equilateral triangle is 36 CM then find the area of the triangle
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area
≈
62.35 ^2
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Answer:
Given perimeter of the triangle is 36 cm.
We know that in an equilateral all three sides are equal.
Let the side of the equilateral triangle be x.
Therefore
Perimeter = 3 x = 36
x = 12
So, each side of the equilateral triangle = 12 cm
Semi perimeter of the triangle = 36/2 = 18 cm
Area of the triangle = √[s(s - a)(s - b)(s - c)] where s is semi perimeter
Area of the triangle = √[18(6)(6)(6)]
= √3888
= 62.35 cm² nearly
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