Question

A right triangle has hypotenuse of length X cm and one side of length Y cm. If (X - Y) = 4, express the
lngth of third side of the right triangle in terms of X.
​

Answer 1

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)