Question

The ratio of the length of sides of a triangular park is 2:3:4 ,perimeter of the park is 216m ,find the area of the park and find the length of sides of a triangular park

Answer 1

Ans:- Let all the side of triangle be 2x,3x and 4x

according to question,

= perimeter of triangle = 216

= 2x + 3x + 4x = 216

= 9x = 216

= x = 24m

All side of triangle is 48, 72 and 96 meters

Now,

Semi perimeter of triangle = (a + b + c) / 2

= 216 / 2 = 108

Are of triangle using Herons formula = √s(s - a) (s - b) (s - c)

= √108 × 60 × 36 × 12

= 1673.1 m^2 or 432√15 m^2

here is your answer

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