now the question which follows up is :
If all the sides and area of a triangle were rational numbers then show that the
triangle is got by `pasting' two right-angled triangles having the same property

Question

now the question which follows up is :
If all the sides and area of a triangle were rational numbers then show that the
triangle is got by `pasting' two right-angled triangles having the same property

anonymous · Answer

same property means?

shubhamsrg · Answer

both triangles should have rational sides.

shubhamsrg · Answer

|dw:1345129143913:dw|
if ABC has rational sides,
we have to show AMB and MBC also has rational sides.

anonymous · Answer

AC.MB  is rational because area is rational and AC is rational so MB is rational 

...now u just proveAM and MC are rational

anonymous · Answer

lol...not that easy

anonymous · Answer

I think it will be enough to show just one side Am or MC rational

anonymous · Answer

yeah..

anonymous · Answer

beause if one is rational than the other must be rational

shubhamsrg · Answer

hmm..