Question

The sides of a triangle are in the ratio 1 : 2 : 3. If the perimeter is 36 cm, find its sides.

Answer 1

We have the ratio of the sides of the triangle = 1 : 2 : 3.
Now, let the sides of the triangle be x, 2x and 3x, respectively.
Therefore, the perimeter = x + 2x + 3x = 36
⇒ 6x = 36
⇒ x = $\frac{36}{6}$ = 6
Thus, the sides of the triangle = x = 6 cm; 2x = 2$\times$6 = 12 cm; 3x = 3 $\times$6 = 18 cm.
So, the sides of the triangle = 6 cm, 12 cm and 18 cm.