Question

the hypotenuse of right triangle is 25cm.the difference between the length of the other two sides of the triangle is 5cm.find the length of these sides
​

Answer 1

Answer:

Length of Shorter side = 15 cm

Length of Longer side = 20 cm

Hope it helps

Mark as brainliest

Step-by-step explanation:

Let the length of the shorter side be x cm.

Then, the length of the shorter side = (x+5) cm

By Pythagoras theorem,

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

⇒ {x}^{2} + {x}^{2} + 10x + 25 = 625

⇒ 2 {x}^{2} + 10x - 600 = 0

⇒ {x}^{2} + 5x - 300 = 0

⇒ (x + 20)(x - 15) = 0

This gives x = 15 or x = - 20

Rejecting x = -20, we get x = 15

Length of Shorter side = 15 cm

Length of Longer side = 20 cm