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
waec 1999mathematics

The correct answer is B. 17

\(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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