Question

the rario of the length of sides of a triangular park is 2:3:4,perimeter of park is 216mts find the area of park​

Answer 1

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The sides of the park are 2:3:4

let the sides be 2x,3xand4x

so,

2x+3x+4x=216

9x=216

x=24

2x=2×24= 48m

3x= 3×24= 72m

4x= 4×24= 96m

So the sides are 48m,72mand 96m

Heron's formula=whole√[s(s-a)(s-b)(s-c)]

s= half of permeter

a,b,c = sides of triangle

s=216/2

s= 108m

=whole√[108(108-48)(108-72)(108-96)]

=whole√(108×60×36×12)

=whole√(2×2×3×3×3×2×2×5×3×2×2×3×3×3×2×2)

=432√3×5

=432√15m

Answer 2

Answer:

Let the no in ratio be 2x,3x and 4x

Step-by-step explanation:

so,

2x+3x+4x = 216

9x=216

x = 216/9

x = 24

2x=24×2=48

3x=24×3=72

4x =24×4=96

Semiperimeter of scelene triangle

=48+72+96/2

=108

area of triangle

square root s(s-a)(s-b)(s-c)

square root 108 (108-48)(108-72)(108-96)

square root 108×60×36×12

= 10.39×7.74×6×3.46

=1669.490