Difference between revisions of "1986 AIME Problems/Problem 15"

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== See also ==
 
== See also ==
* [[1986 AIME Problems]]
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{{AIME box|year=1986|num-b=10|after=Last Question}}
 
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* [[AIME Problems and Solutions]]
{{AIME box|year=1986|num-b=14|after=Last<br />Question}}
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* [[American Invitational Mathematics Examination]]
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* [[Mathematics competition resources]]

Revision as of 14:54, 6 May 2007

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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See also

1986 AIME (ProblemsAnswer KeyResources)
Preceded by
Problem 10
Followed by
Last Question
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions