MathDB

Segment Ratios

Source: AMC 12 2008B Problem 8

February 29, 2008

ratioLaTeXAMC

Problem Statement

Points

B

and

C

lie on

\overline{AD}

. The length of

\overline{AB}

is

4

times the length of

\overline{BD}

, and the length of

\overline{AC}

is

9

times the length of

\overline{CD}

. The length of

\overline{BC}

is what fraction of the length of

\overline{AD}

?

<span class='latex-bold'>(A)</span>\ \frac{1}{36} \qquad <span class='latex-bold'>(B)</span>\ \frac{1}{13} \qquad <span class='latex-bold'>(C)</span>\ \frac{1}{10} \qquad <span class='latex-bold'>(D)</span>\ \frac{5}{36} \qquad <span class='latex-bold'>(E)</span>\ \frac{1}{5}

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