The sides of a right angle triangle in ascending order of magnitude are 8cm, (x-2)cm...
MATHEMATICS
WAEC 1999
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: B. 17
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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