1986 AIME Problems/Problem 15: Difference between revisions
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== Problem == | == Problem == | ||
Let triangle <math>\displaystyle ABC</math> be a right triangle in the xy-plane with a right angle at <math>\displaystyle C_{}</math>. Given that the length of the hypotenuse <math>\displaystyle AB</math> is <math>\displaystyle 60</math>, and that the | Let [[triangle]] <math>\displaystyle ABC</math> be a [[right triangle]] in the xy-plane with a right angle at <math>\displaystyle C_{}</math>. Given that the length of the [[hypotenuse]] <math>\displaystyle AB</math> is <math>\displaystyle 60</math>, and that the [[median]]s through <math>\displaystyle A</math> and <math>\displaystyle B</math> lie along the lines <math>\displaystyle y=x+3</math> and <math>\displaystyle y=2x+4</math> respectively, find the area of triangle <math>\displaystyle ABC</math>. | ||
== Solution == | == Solution == | ||
{{solution}} | {{solution}} | ||
== See also == | == See also == | ||
{{AIME box|year=1986|num-b= | {{AIME box|year=1986|num-b=14|after=Last Question}} | ||
* [[AIME Problems and Solutions]] | * [[AIME Problems and Solutions]] | ||
* [[American Invitational Mathematics Examination]] | * [[American Invitational Mathematics Examination]] | ||
* [[Mathematics competition resources]] | * [[Mathematics competition resources]] | ||
[[Category:Intermediate Geometry Problems]] | |||
Revision as of 16:55, 6 May 2007
Problem
Let triangle 
be a right triangle in the xy-plane with a right angle at 
. Given that the length of the hypotenuse 
is 
, and that the medians through 
and 
lie along the lines 
and 
respectively, find the area of triangle .
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See also
| 1986 AIME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 14 |
Followed by Last Question | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
