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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 23,041

If the perimeter of two right angled triangles are equal, the two triangles are congruent.

Can this be proved?

Or is the statement false, if that be the case, can it be proved that it is false?

I have a proof in my mind, which I arrived at after much thinking.

I shall post what I think soon. Maybe after a couple of posts.

Your views please.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**mathsyperson****Moderator**- Registered: 2005-06-22
- Posts: 4,900

This is false unless I'm misinterpreting something.

One counterexample would be 15-20-25 and 10-24-26.

Why did the vector cross the road?

It wanted to be normal.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 23,041

Thanks for the counterexample, mathsyperson.

I wanted to get a confirmation of my view.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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