Question

The sides of a triangle are in the ratio $2:3:4$. If the perimeter is $27cm$, find the length of each side.

Answer 1

Step 1: Sum of the terms of the ratio

The ratio of the sides of a triangle = $2:3:4$

Sum of the terms of the ratio = $2+3+4=9$

Step 2: Find the values of each side of the triangle

perimeter of the triangle is $27cm$.

Value of first side = $\frac{2}{9}\times 27cm=2\times 3cm=6cm$

Value of second side= $\frac{3}{9}\times 27cm=3\times 3cm=9cm$

Value of third side = $\frac{4}{9}\times 27cm=4\times 3cm=12cm$

Hence, the values of three sides of the triangle are $6cm,9cm,12cm$.