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JAMB Mathematics 1989 Question 40

Question 40

Triangles and Quadrilaterals

If x : y = 5 : 12 and z = 52cm, find the perimeter of the triangle

Diagram for this question
  1. A.68cm
  2. B.84cm
  3. C.100cm
  4. D.120cm
Show the answer and explanation

Answer: D (120cm)

Explanation

The triangle is right-angled with legs in ratio 5 : 12, so the sides are 5k, 12k, 13k. 13k = 52 gives k = 4, and the perimeter is 30k = 120cm.