Maths-
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Easy

Question

Sides of triangle are 100 m, 120 m and 140 m. Find its area

hintHint:

Use Heron’s formula

The correct answer is: 2.44


    It is given that a = 100 , b = 120 and c = 140
    Using Heron’s formula
    Area of triangle = square root of s left parenthesis s minus a right parenthesis left parenthesis s minus b right parenthesis left parenthesis s minus c right parenthesis end root where s = fraction numerator a plus b plus c over denominator 2 end fraction
    s = fraction numerator 100 plus 120 plus 140 over denominator 2 end fraction = 180
    Area of triangle
    square root of 180 left parenthesis 180 minus 120 right parenthesis left parenthesis 180 minus 140 right parenthesis left parenthesis 180 minus 100 right parenthesis end root
    square root of 180 left parenthesis 60 right parenthesis left parenthesis 40 right parenthesis left parenthesis 80 right parenthesis end root
    = 100 square root of 2 cross times 9 cross times 3 cross times 64 end root
    = 2400 cm2
    = 5878.76 cm2           (square root of 6 = 2.44)

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