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JAMB Mathematics 1983 Question 16

Question 16

Triangles and Quadrilaterals

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

  1. A.2
  2. B.6
  3. C.18
  4. D.12
  5. E.0.
Show the answer and explanation

Answer: D (12)

Explanation

The hypotenuse is 3x + 1, so x² = (3x + 1)² − (3x − 1)² = 12x. Hence x = 12.