Question

The area of a triangle
$216 {cm}^{2}$
its sides are in the ratio of 3:4:5.The perimeter of the triangle is

Answer 1

From the given information,

the sides the triangle are 3x,4x and 5x.

area of the triangle = 216 cm²

S  =  (3x + 4x + 5x) /2 ===> 6x

√s(s-a) (s-b) (s-c)  =  216

√6x(3x) (2x) (x)  =  216

6x²  =  216 ==> x  =  6

3x  =  18 cm, 4x  =  24 cm and 5x  =  30 cm

Perimeter of triangle  =  18 + 24 + 30 ==> 72 cm

Therefore the pereimeter of the triangle  =  72 cm

hope it helps ...
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Answer 2

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