Rectangular Hyperbola

[Abdul Quadeer]

1. The problem statement, all variables and given/known data
A triangle is inscribed in a rectangular hyperbola such that the tangent at one of the vertices is perpendicular to the opposite side. Prove that the triangle is right angled.


2. Relevant equations



3. The attempt at a solution

I am unable to draw a valid figure for this question. How can a tangent at vertex be perpendicular to the opposite side?
Can anyone upload a figure for this?
Thanks

[pongo38]

Have you tried drawing it with BOTH halves of the rect hyp? Can you show us what you have done in trying?

[Quinzio]

a is perpendicular to ED

EDF is right angled.


http://img228.imageshack.us/img228/4846/69374949.jpg

[Abdul Quadeer]

Thanks Quinzio. That helped.
Can you tell me which software did you use to draw this figure?

[Quinzio]

Thanks Quinzio. That helped.
Can you tell me which software did you use to draw this figure?

http://www.geogebra.org/cms/en