Question

The perimeter of triangle is 65 centimeters. Find the length of its sides, if the longest side is 7 centimeters longer than the shorter side, and the remaining side is 4 centimeters longer than the shorter side

Answer 1

The length of shorter side is 18.

The length of longest side is
`x+7=18+7=25`.

The length of remaining side is
`x+4=18+4=22`.

Explanation:

Given that,

Perimeter of triangle is 65.

The length of longest side is 7 centimeter longer than the shorter side.

Length of remaining side is 4 centimeter longer than the shorter side.

Let,

The length of shorter side is
`x`.

According to question,

length of longest side is
`x+7`, and length of remaining side is
`x+4`.

∵Perimeter of triangle is = 65

⇒ Perimeter of triangle = sum of the length of three sides

⇒ Perimeter of triangle =
`(x)+(x+7)+(x+4)`

⇒
`3x+11=65`

∴
`x=18`

Now,

The length of shorter side is 18.

The length of longest side is
`x+7=18+7=25`.

The length of remaining side is
`x+4=18+4=22`.