Question

the sides of a triangular park are in the ratio 3:5:3 and is perimeter is 110m. find its area

Answer 1

let ratio of sides of triangle be 3x , 5x and 3x

sum of the ratio (perimeter) = 110 m

3x + 5x + 3x = 110

11x = 110

x = 10

3x = 3×10 = 30m

5x = 5×10 = 50m

3x = 3×10 = 30m

Area of triangle = √s(s-a) (s-b) (s-c)

s = p/2 = 110/2

s = $\fcolorbox{red}{yellow}{55m}$

Area :- √55(55-30)(55-50)(55-30)

=> √ 11 × 5 × 25 × 5 × 25

=> 25 × 5√11

=> 125√11 m²

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Answer 2

Step-by-step explanation:

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