JAMB Mathematics 2014 Question 28

Question 28

Triangles and Quadrilaterals

Find the value of x in the figure above.

Diagram for this question
  1. A.4√3cm
  2. B.20√3cm
  3. C.10√3cm
  4. D.5√3cm
Show the answer and explanation

Answer: C (10√3cm)

Explanation

The third angle is 90°. By the sine rule, x/sin 60° = 10/sin 30°, so x = 10 × (√3/2) ÷ (1/2) = 10√3 cm.