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JAMB Mathematics 1985 Question 33

Question 33

Mensuration of Plane Shapes

In ΔXYZ above, XKZ = 90°, XK = 15cm, XZ = 25cm and YK = 8cm. Find the area of ΔXYZ.

Diagram for this question
  1. A.180sq. cm
  2. B.210sq.cm
  3. C.160sq. cm
  4. D.320sq.cm
  5. E.390sq. cm.
Show the answer and explanation

Answer: B (210sq.cm)

Explanation

KZ = √(25² − 15²) = 20cm, so YZ = 8 + 20 = 28cm. Area = ½ × 28 × 15 = 210sq.cm.