The sides of a right angle triangle in ascending order of magnitude are 8cm, (x-2)cm and x cm. Find x
A
16
B
17
C
34
D
90
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
8\(^2\) + (x - 2)\(^2\) = x\(^2\)
64 + x\(^2\) - 4x + 4 = x\(^2\)
x\(^2\) - 4x + 68 = x\(^2\)
-4x = -68
x = \(\frac{-68}{-4}\) = 17
Source: Myschool Past Questions Archive (Record #26421)