Question

find the area of triangle whose sides are in the ratio 20:15:10 and it's perimeter is 300cm?​

Answer 1

let the sides be 3x 5x and 7x

perimeter = 300cm

3x+5x+7x= 300

x=300÷15

x= 20

3x=60 (a)

5x=100 (b)

7x=140 (c)

semiperimeter (s)= 300÷2=150

area= root(s(s-a)(s-b)(s-c))

=root(150×90×50×10)

=root(3×5×5×2×3×3×2×5×5×2×5×5×2)

=5×5×5×3×2×2 root 3

=1500(root3) cm^2

I hope this is the answer.

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