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2018 AMC 10A Problems/Problem 16

Revision as of 13:22, 8 February 2018 by Ishankhare (talk | contribs) (Created page with "Right triangle <math>ABC</math> has leg lengths <math>AB=20</math> and <math>BC=21</math>. Including <math>\overline{AB}</math> and <math>\overline{BC}</math>, how many line s...")
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Right triangle $ABC$ has leg lengths $AB=20$ and $BC=21$. Including $\overline{AB}$ and $\overline{BC}$, how many line segments with integer length can be drawn from vertex $B$ to a point on hypotenuse $\overline{AC}$?

$\textbf{(A) }5 \qquad \textbf{(B) }8 \qquad \textbf{(C) }12 \qquad \textbf{(D) }13 \qquad \textbf{(E) }15 \qquad$

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