Question 45
Triangles and QuadrilateralsIn the diagram, DE||BC, |AD| = x cm and |DB| = |AE| = y cm. Find |CE| in terms of x and y.
- A.x
- B.x2/y
- C.y/x2
- D.y2/x
Show the answer and explanation
Answer: D (y2/x)
Explanation
A line parallel to BC divides the sides in the same ratio: AD/DB = AE/EC, so x/y = y/CE and CE = y2/x.