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JAMB Mathematics 2018 Objective — Question 10

Question 10 of 39 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2018 Objective paper, with the correct answer and a full explanation.

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

  • A. 7
  • B. 12Correct
  • C. 8
  • D. 10

Explanation

The longest side 3x+1 is the hypotenuse: (3x+1)² = x²+(3x−1)² → 9x²+6x+1 = x²+9x²−6x+1 → 12x=x² → x=12 (x≠0).

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