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mikesteane t1_j2doafd wrote

Reply to comment by antilos_weorsick in ELI5: Angles in a semicircle by [deleted]

That's my point; I'm not assuming it is a right triangle, but when the construction is drawn I (even if not you) can see that it must be one. I've even given you a couple of interim steps to seeing why this is so, but you don't seem to grasp it even then.

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na3than t1_j2e5wro wrote

You ARE assuming the original triangle is a right triangle. If you take a triangle ABC, rotate it 180° and translate it so that AC coincides with the original CA, you're guaranteed to get a PARALLELOGRAM. You're only guaranteed to get a rectangle if the original triangle was a right triangle.

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