There are several right-angled triangles in your diagramPlease correct me if I am mistaken, but there is nothing in the diagram to indicate that those are right angles. I was always told in my geometry classes that you cannot assume an angle is a right angle--it must be clearly denoted. In other words, this triangle shows 3 right triangles:
DEB and BEC are similar triangles.and you can prove the Pythagorean theorem with similar triangles.
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