Question

The hypotenuse of a right-angled triangle is 20 m. If the difference between the lengths of the other two sides is 4 m., find the length of the sides.

Answer 1

Let the length of one of the sides be x. Then, the length of the other side will be x + 4.

It is given that the length of the hypotenuse is 20 m.

Therefore, by using Pythagoras Theorem, we get:

Splitting the middle term, we get:

Since, x is the length, x = 12

Here, x + 4 = 12 + 4 = 16

Hence, the sides are.