Question

The hypotenuse of a right angle triangle exceeds one side by 1 cm and the other sides by 18 cm find the length of the side of the triangle.

Answer 1

Let one hypotenuse of the triangle be x cm.

From the given information,

Length of one side = (x − 1) cm

Length of other side = (x − 18) cm

x = 13, 25,

When x = 13, x − 18 = 13 − 18 = − 5, which being negative, is not possible.

So, x = 25 Thus, the lengths of the sides of the triangle are x = 25 cm, (x−1) = 24 cm and (x−18) =7cm.