Two of the side lengths of a triangle are 8 centimeters and 40−−√ centimeters. Select the possible lengths of the third side that make the triangle a right triangle.

Step-by-step explanation:

We are given the following in the question:

Two sides of triangle:

8 cm and cm

Let the third side be x cm.

Pythagoras theorem:

The sum of square of two sides of a right angled triangle is equal to the square of hypotenuse.

If the third side is hypotenuse, then by Pythagoras theorem:

If the third side is not hypotenuse, then

Thus, possible third side of triangle are