Maths-
General
Easy

Question

If the perimeter of an equilateral triangle is 420 units. find half of its area.

Hint:

Try to find side of the equilateral triangle

The correct answer is: 4243.52


    Let side of the triangle = a units
    It is given that Perimeter of the triangle = 342 units
    cross times a = 420
    a = 140 units
    Area of  equilateral triangle = fraction numerator square root of 3 over denominator 4 end fraction a2
    = fraction numerator square root of 3 over denominator 4 end fraction (140)2  = 4900square root of 3 sq. units
    = 8487.04 sq. units
    half of its area=1cross times space 8487.04 space divided by space 2 = 4243.52

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