Question

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

Answer 1

Given that sides are in the ratio $3:2:4$ and perimeter of triangle is $27cm$.
So, $27cm$ is divided into $3+2+4=9$ equal parts,
Then,
3 out of 9 equal parts
$=\frac{3}{9}$ of sum of sides
$=\frac{3}{9}\times 27$
$=3\times 3$
$=9cm$
2 out of 9 equal parts.
$=\frac{2}{9}\times 27$
$=2\times 3=6cm$
And, 4 out of 9 equal parts
$=\frac{4}{9}$ of sum of sides
$=\frac{4}{9}\times 27=4\times 3=12cm$
Therefore, the lengths of the three sides of the triangles in the ratio $3:2:4$ are, $9cm,6cm\text{and}12cm$ respectively.