Question

The perimeter of the triangle is $60cm$. If the sides of the triangle are in the ratio $3:4:5$, then find the length of each side of the triangle.

Answer 1

Finding the length of each side of the triangle:

Let the length of the sides of the triangle be $3x$, $4x$ and $5x$.

It is given that the perimeter of the triangle is $60cm$.

The perimeter of a triangle is the sum of the length of its sides.

$\Rightarrow$ $3x+4x+5x$$=60cm$

$\Rightarrow$ $12x$$=60$

$\Rightarrow$ $x$$=\frac{60}{12}$

$\Rightarrow$ $x$$=5$

Now, $x$$=5$:

$\Rightarrow$ $3x$ $=3\times 5$

$\Rightarrow$$3x$ $=15$

Similarly, $4x$ $=4\times 5$

$\Rightarrow$ $4x$ $=20$

Also, $5x$ $=5\times 5$

$\Rightarrow$ $5x$ $=25$

Hence, the length of the sides of the given triangle is $15cm$, $20cm$ and $25cm$.