Hypotenuse of a right triangle is 25cm and out of the remaining two sides, one is longer than the other by 5cm. Find the lengths of the other two sides

Let one side is x cm

Then other side is (x+5) cm

x^2 + (x+5)^2 = (25)^2

x^2 + x^2 +10x + 25 = 625

2x^2 + 10x - 600 = 0

x^2 + 5x - 300 = 0

x^2 + 20x - 15x - 300 = 0

x(x+20) - 15(x+20) = 0

(x+20) (x-15) = 0

x = -20 x = 15

Side cannot be negative

So, therefore one side is 15cm

other side is (x+5) = (15+5) = 20cm