If the sides of a triangle are in the ratio 5:6:7 and its perimeter is 180 m, then find the sides of the triangle. [2 MARKS]

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Solution

Concept : 0.5 Mark
Application : 0.5 Mark
Calculation : 1 Mark

Given, the sides of a triangle are in the ratio 5:6:7.
Let the sides of the triangle will be 5x, 6x and 7x.
5x + 6x + 7x = 180
$\Rightarrow$ 18x = 180
$\Rightarrow$ x = 10
Therefore, the sides are
$5 \times x = 5 \times 10 = 50 m 6 \times x = 6 \times 10 = 60 m 7 \times x = 7 \times 10 = 70 m$

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