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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
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  • A 16
  • B 17
  • C 34
  • D 90
Correct Answer: Option B
Explanation:
\(8^2 + (x - 2)^2 = x^2\\
64 + x^2 - 4x + 4 = x^{2}\\
x^2 - 4x + 68 = x^2\\
-4x = -68\\
-x = \frac{-68}{4} = 17\)

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