The sides of a triangle park are in ratio 3:5:7, if its perimeter is 90 m, then find its side lengths.

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Solution

Let the sides be $3 x, 5 x, 7 x$

We know that the perimeter of a triangle is given by the sum of all of its sides.

Therefore, $3 x + 5 x + 7 x = 90$

$\Rightarrow 15 x = 90$

$\Rightarrow x = 6$

Therefore the sides are 18cm, 30cm and 42 cm

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