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.
\(\frac{y^2}{x}\)
Correct answer is D
\(\frac{x}{x+y}=\frac{y}{x+CE}\\
xy + xCE = xy + y^2\\
∴xCE = y^2\\
CE=\frac{y^2}{x}\)