1987 AIME Problems/Problem 15

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Problem

Squares $\displaystyle S_1$ and $\displaystyle S_2$ are inscribed in right triangle $\displaystyle ABC$, as shown in the figures below. Find $\displaystyle AC + CB$ if area $\displaystyle (S_1) = 441$ and area $\displaystyle (S_2) = 440$.

AIME 1987 Problem 15.png

Solution

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See also

1987 AIME (ProblemsAnswer KeyResources)
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