Question

the hypotenuse of a right angle triangle is 25 cm and out of the remaining two side is one is longer than the other by 5 cm find the length of other side​

Answer 1

Answer:

20cm

Step-by-step explanation:

Let one side be xcm. Then the other side will be (x+5)cm. Therefore, from Pythagoras theorem

x  

2

+(x+5)  

2

=25  

2

 

⇒x  

2

+x  

2

+10x+25=625

⇒x  

2

+5x−300=0⇒x  

2

+20x−15x−300=0

⇒x(x+20)−15(x+20)=0

⇒(x−15)(x+20)=0⇒x=15orx=−20

Rejecting x=−20, we have length of one side =15cm and that of the other side =(15+5)cm=20cm