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)