Question

hypotenuse of a right triangle is 25 CM the other two sides are such that one is 5 cm longer than the other the length of the side are​

Answer 1

$\bold{Hey \ Dude}$

let one of the side be x

And the other be x+5 by Pythagoras therom 

(25)2 = x2 + (x+5)2 625 = 2x2+10x+25 2x2+10x – 600=0 x2+ 5x – 300=0 x2+ 20x – 15x – 300=0 x(x+20) –15(x+20)=0 

(x+20) (x –15)=0 

∴ x=15, x = –20 But x cannot be negative

 Hence one side = x = 15 other side = x + 5 =15 + 5 = 20 

Thus the other sides of the triangle are 15, 20.

Answer 2

${(25)}^{2} = {(x)}^{2} + {(y)}^{2} \\ 625 = {(5)}^{2} + {y}^{2} \\ 625 = 25 + {y}^{2} \\ 625 - 25 = {y}^{2} \\ 600 = {y}^{2} \\ y = \sqrt{600}$