ECZ 2016 · GCE Paper 1 — Quadratic Equations
The diagram shows an isosceles triangle ABC where AB = BC = (x − 3) cm and AB̂C = 90°. Find the value of x for which the area of triangle ABC is 18 cm².
- A. 6
- B. 9
- C. 3
- D. −3
Verified working — step 1
The two equal sides sandwich the right angle, so area = ½(x − 3)². Setting ½(x − 3)² = 18 gives (x − 3)² = 36, so x − 3 = 6 (taking the positive root for a real length) and x = …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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