If the sides of a right triangle are x, x + 1 and x – 1, then the hypotenuse :
5
4
1
0
None of these
Correct Option: A
From given figure , we have Let, (x + 1) be the hypotenuse and perpendicular = x - 1 , base = x. By pythagoras theorem , ∴ (x + 1)2 = x2 + (x + 1)2 ⇒ x = 4 ∴ Hypotenuse = 4 + 1 = 5