Question

sides of triangle are in the ratio 12:17:25 and its perimetre is 450cm.find its area? can any one explain this!

Answer 1

Given
Side's ratio => 12:17:25

Perimeter =450cm

Sum of ratio =12+17+25

=54

Value of one ratio =450/54

=225/27

=8.33cm

1st side =100cm

2nd side=141.667cm

3rd side =208.333cm

Using Heron's formula

S=a+b+c/2

S=450/2

S=225

$area = \sqrt{s(s - a)(s - b)(s - c)}$
$= \sqrt{225(225 - 100)(225 - 141.667)(225 - 208.333)}$

$= \sqrt{225(125)(83.33)(16.667)}$
$= \sqrt{39061718.8} {cm}^{2}$

=6249.93cm²

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