Proving a Right-Angled Triangle in a Rectangular Hyperbola | Homework Question

[zorro]

Homework Statement

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.

Homework Equations

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.


[PLAIN]http://img228.imageshack.us/img228/4846/69374949.jpg

 

[zorro]

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