ECZ 2014 · O-Level Paper 1 — Trigonometry
The diagram shows an isosceles triangle ABC in which AB = AC = 41 cm, BC = 18 cm and D is the midpoint of BC. Calculate the length of AD.
- A. 32 cm
- B. √1762 cm
- C. 40 cm
- D. 20 cm
Verified working — step 1
D is the midpoint, so BD = 9 cm, and AD ⊥ BC. By Pythagoras AD² = 41² − 9² = 1 681 − 81 = 1 600, so AD = …The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.
Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.
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