Question

0. A right triangle has hypotenuse of length
pcm and one side of length 9 cm.
If p- q = 1, find the length of the third side of the triangle.​

Answer 1

Answer:

Step-by-step explanation:

Solution :- given  

⇒ for right angle triangle  

hypotenuse =pcm

one side =qcm  

and, p−q=1  

−q=1−p

⇒q=p−1

By pythagoros Theorem  

⇒p  

2

=q  

2

+x  

2

  (x is the remaining side)

⇒x=  

p  

2

−q  

2

 

​  

 

=  

p  

2

−(p−1)  

2

 

​  

=  

p  

2

−p  

2

−1+2p

​  

 

=  

2p−1

​  

cm (Ans)