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In the diagram, DE||BC, |AD| = x cm and |DB| = |AE| = ycm. Find...

Mathematics
WAEC 1999
In the diagram, DE||BC, |AD| = x cm and |DB| = |AE| = ycm. Find |CE| in terms of x and y
  • A. x
  • B. \(\frac{x^2}{y}\)
  • C. \(\frac{y}{x^2}\)
  • D. \(\frac{y^2}{x}\)
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Correct Answer: Option D
Explanation
\(\frac{x}{x+y}=\frac{y}{x+CE}\\
xy + xCE = xy + y^2\\
∴xCE = y^2\\
CE=\frac{y^2}{x}\)
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