1986 AIME Problems/Problem 15

Problem

Let triangle $\displaystyle ABC$ be a right triangle in the xy-plane with a right angle at $\displaystyle C_{}$ . Given that the length of the hypotenuse $\displaystyle AB$ is $\displaystyle 60$ , and that the medians through $\displaystyle A$ and $\displaystyle B$ lie along the lines $\displaystyle y=x+3$ and $\displaystyle y=2x+4$ respectively, find the area of triangle $\displaystyle ABC$ .

Solution

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1986 AIME (Problems • Answer Key • Resources)
Preceded by Problem 10	Followed by Last Question
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1986 AIME Problems/Problem 15

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