Correct Answer: (b) 15 cm, 20 cm

Explanation:

Given,

Length of hypotenuse = 25 cm

Let the other two sides be x cm and (x−5) cm.

Applying Pythagoras theorem,

25² = ????² + (???? − 5 ) ²

625 = ????² + ????² + 25 − 10????

2????² − 10???? − 600 = 0

????² − 5???? − 300 = 0

????² − 20???? + 15???? − 300 = 0

????(???? − 20) + 15(???? − 20) = 0

(x – 20) (x + 15) =0

???? − 20 = 0 ???????? ???? + 15 = 0

???? = 20 ???????? ???? = −15

Side of a triangle cannot be negative.

x = 20 cm

x – 5 = 20 – 5 => 15 cm