JAMB Mathematics 2004 Question 33

Question 33

Triangles and Quadrilaterals

Find the value of x in the figure above.

Diagram for this question
  1. A.20√6
  2. B.15√6
  3. C.5√6
  4. D.3√6
Show the answer and explanation

Answer: C (5√6)

Explanation

By the sine rule, x/sin 45° = 15/sin 60°, so x = 15 × (√2/2)/(√3/2) = 15√2/√3 = 5√6.