Maths-
General
Easy

Question

Sides of a triangle are in the ratio 12 : 17 : 25 and its perimeter is 540 cm. Find its area.

Hint:

Let sides of triangle be 12x , 17x and 25x

The correct answer is: 9000 cm2


    It is given that Perimeter of triangle = 540 cm
    ⇒ 12x + 17x + 25x = 540
    ⇒  54x = 540
    ⇒  x = 10
    So, a = 120 cm , b = 170 cm , c = 250 cm
    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 = 540 over 2 = 270
    Area of triangle
    square root of 270 left parenthesis 270 minus 120 right parenthesis left parenthesis 270 minus 170 right parenthesis left parenthesis 270 minus 250 right parenthesis end root
    =  square root of 270 left parenthesis 150 right parenthesis left parenthesis 100 right parenthesis left parenthesis 20 right parenthesis end root
    =  9000 cm2

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