The perimeter of a triangle is 51cm the lengths of its side are x cm, x+2 cm, and x+4 cm. What is the length, in cm, of the longest side of the triangle

Given:

Sides of a triangle are x cm, x+2 cm, and x+4 cm.

Perimeter of triangle is 51 cm.

To find:

The the length of the longest side of the triangle.

Solution:

Sides of a triangle are x cm, x+2 cm, x+4 cm and perimeter of the triangle is 51 cm.

Perimeter of a triangle is the sum of all sides of the triangle.

Divide both sides by 3.

Now, length of sides of the triangle are

Therefore, the length of longest side of the triangle is 19 cm.