(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If y=x+2, y=2x+3 are medians of right angled triangle ABC (angle A=90) through B and C respectively such that |BC|=81 units. Find area of triangle.

3. The attempt at a solution

I have been trying this since a long time.

I am posting my work in the form of 2 images. I hope my writing is legible. I think I have generated enough equations for the unknowns. But to solve them is difficult. Please help me.

I was also told that there exists a shorter method than this. I shall be glad if you could guide me to a shorter approach.

Picture 1:

http://img18.imageshack.us/img18/4679/87911896fu2.jpg [Broken]

Picture 2:

http://img25.imageshack.us/img25/694/76694925pt3.jpg [Broken]

regards,

Ritwik

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# Coordinate Geometry(Right Triangle)

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