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JAMB Mathematics 1987 Question 34

Question 34

Triangles and Quadrilaterals

In the figure above, XŶZ = YT̂Z = 90°, XT = 9cm and TZ = 16cm. Find YZ

Diagram for this question
  1. A.25cm
  2. B.20cm
  3. C.16cm
  4. D.9cm
Show the answer and explanation

Answer: B (20cm)

Explanation

In a right-angled triangle with the altitude YT, YZ² = TZ × XZ. So YZ² = 16 × 25 = 400 and YZ = 20cm.