Question

find the third side of a right angled triangle whise hypotenuse is if length p cm,one side of length qcm and p-q=1.

Answer 1

let third side is equal to x
p-q=1
squaring on both sides
p2+q2-2pq=1
p2+q2=1+2pq

p2=q2+x2
p2-q2=x2
p2+q2=1+2pq
2p2=x2+1+2pq
x2=2p2-1-2pq
x=under root ( 2p2-1-2pq)


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