I am about to prove to you that ALL triangles are isosceles. That - TopicsExpress

I am about to prove to you that ALL triangles are isosceles. That is, all triangles have two sides equal in length. I do this by starting with any generic triangle, making a few constructions and then arguing carefully using my knowledge of congruent triangles. Now, you know that this conclusion is not true! So, you (correctly) conclude that I have made an error somewhere, or that I am deliberately misleading you ... but WHERE and HOW? That is the challenge :-). I look forward to any feedback you might offer. This is a good way to learn some principles of geometry. Over to you.

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