Question

If the perimeter of a triangle is 6 2/3 cm and the length of two of its sides are 2 1/2cm and 3 1/3cm,find the length of the third side

Answer 1

Answer:

answer is 5/6 hope you got the correct answer

Answer 2

Given: The perimeter of a triangle is 6 2/3 cm and the length of two of its sides are 2 1/2cm and 3 1/3cm.

To find: We have to find the length of the third side.

Solution:

We know that the perimeter of a triangle is given as the sum of the three sides of the triangle.

Two sides of the triangle have a length of 2 1/2 or 5/2 and 3 1/3 or 10/3 cm.

Let the third side of the triangle be x.

The perimeter of the triangle is 6 2/3 or 20/3 cm.

So, we can write-

$x + \frac{5}{2} + \frac{10}{3} = \frac{20}{3} \\ x = \frac{20}{3} - \frac{10}{3} - \frac{5}{2} \\ x = \frac{10}{3} - \frac{5}{2} \\ x = \frac{20 - 15}{6} \\ x = \frac{5}{6}$

The value of x is 5/6.

So, the length of the third side of the triangle is 5/6 cm.