The perimeter of a triangle is 36 cm if its sides are in the ratio of 1:3:2 find the all sides of the triangle

Question Id: MA0000002

Question: The perimeter of a triangle is 36 cm if its sides are in the ratio of 1:3:2 find the all sides of the triangle ?

Answer: $6cm$, $18cm$ and $12cm$

Explanation:

Ratio of sides of triangle is given 1:3:2

Let, sides are $x$, $3x$ and $2x$

Then perimeter will be, $x+2x+3x=6x$

According to question perimeter is given 36cm.

So  $6x=36$

$$\Rightarrow x=\frac{36}{6}$$

$$\Rightarrow x=6$$

So,  now $x=6$, $3x=18$ and $2x=12$

Hence, sides of the triangle are 6cm, 18cm and 12cm. (Answer)