Question

Find the area, if the side of a triangle is in the ratio 2:3:4 and the perimeter of the triangle is 108. (Heron's formula)​

Answer 1

let the sides be 2x,3x,4x

Perimeter = 108

so, 2x+3x+4x = 108

9x = 108

x = 108/9

x = 12

so the sides of the triangle are 2x = 2×12 = 24

3x = 3×12 = 36

4x = 4×12 = 48

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