WAEC Mathematics 2010 Question 21

Question 21

Triangles and Quadrilaterals

In the diagram, triangles HKL and HIJ are similar. Which of the following ratios is equal to LH/JH?

Diagram for this question
  1. A.KL/JI
  2. B.HK/JK
  3. C.JI/KL
  4. D.HK/LK
Show the answer and explanation

Answer: A (KL/JI)

Explanation

The equal angles x° at L and J match L with J, and K with I. So HKL ~ HIJ gives LH/JH = KL/IJ = HK/HI.