Question

If the side of a
triangle are in the ratio 8:4:6 and its perimeter is 72cm find the area of the triangle

Answer 1

let
a=8x
b=4x
c=6x

Perimeter of triangle = 72
8x+4x+6x. =72
18x. =72
x. =72/18
x= 4

a=8x=8×4=32
b= 4x=4×4=16
c=6x=6×4=24

s=a+b+c/2
s=32+16+24/2
s=72/2
s= 36

ar∆=√s(s-a)(s-b)(s-c)

=√36(36-32)(36-16)(36-24)

=√36×4×20×12

=√2×2×3×3×2×2×2×10×2×3

= 2×2×2×3√3×10

= 24√30

area of triangle is 24√30cm sq

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