Question

The perimeter of a triangular field is 135 cm and its sides are in the ratio 25 : 17 : 12. Find its area.

Answer 1

Let the sides of the triangle be
25x, 17x and 12x.

Given,
$\: \: \: \: \: \: \: \: 25x + 17x + 12x = 135 \\ = > 54x = 135 \\ = > x = \frac{135}{54} = 2.5$


Therefore,
the sides of the triangle are
62.5cm, 42.5cm, 30cm.

By using Heron's formula,
$\sqrt{s(s - a)(s - b)(s - c)}$
Area of the triangle
=38,511.742324582cm².





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