passwella.
Menu

JAMB Mathematics 1981 Question 36

Question 36

Mensuration of Plane Shapes

In the above diagram XZ is the diameter of a circle radius 5/2cm. If XY is 4cm then the area of the triangle XYZ is

Diagram for this question
  1. A.12cm2
  2. B.28½cm2
  3. C.16cm2
  4. D.10cm2
  5. E.6cm2
Show the answer and explanation

Answer: E (6cm2)

Explanation

XZ = 5cm and the angle at Y is 90° (angle in a semicircle), so YZ = √(25 − 16) = 3cm. Area = ½ × 4 × 3 = 6cm².