Question

A right triangle has hypotenuse of length p cm and one side of length q cm. If p – q = 1, then the length of the third side of the triangle (in cm) is

Answer 1

Answer:

x=root(2q+1)

Step-by-step explanation:

p is hypotenuse

q is side

let assume third side be x

p^2=q^2+x^2

x^2=p^2-q^2

x^2=(p+q)(p-q) ( given p-q=1)

x^2=p+q..................1

x=root(p+q)

given,p-q=1

p=1+q................2

by substituting 2 in 1

x=root(1+q+q)

hence x=root(2q+1)

hope this helps u