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 sides.

Answer 1

$\Rightarrow$ Perimeter of triangles is $27cm$.

$\Rightarrow$ Sides are given in ratio $3:2:4$

$\Rightarrow$ We know, Perimeter of triangle = Sum of all sides.

$\Rightarrow$ Let sides of triangle are $3x,2x$ and $4x$.

$\Rightarrow$ $3x+2x+4x=27$

$\Rightarrow$ $9x=27$

$\therefore$ $x=3$

$\Rightarrow$ $1st$ side $=3x=3\times 3=9cm$

$\Rightarrow$ $2nd$ side $=2x=2\times 3=6cm$

$\Rightarrow$ $3rd$ side $=4x=4\times 3=12cm$