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The lengths of the sides of a right angled triangle are (3x + 1)cm, (3x...

Mathematics
JAMB 1983

The lengths of the sides of a right angled triangle are (3x + 1)cm, (3x - 1)cm and xcm. Find x

  • A. 2
  • B. 6
  • C. 18
  • D. 12
  • E. 5
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Correct Answer: Option D
Explanation

\((3x + 1)^{2} = (3x - 1)^{2} + x^{2}\) (Pythagoras's theorem)

\(9x^{2} + 6x + 1 = 9x^{2} - 6x + 1 + x^{2}\)

x2 - 12x = 0

x(x - 12) = 0

x = 0 or 12

The sides cannot be 0 hence x = 12.


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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