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The sides of a right angle triangle in ascending order of magnitude are 8cm, (x-2)cm…

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
Correct Answer: Option B
Explanation

(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)