A Pythagorean Theorem for triangles other than right triangles. Suppose we have a triangle that is not a right triangle. For example, consider:
Now, if we drop a perpendicular line from the top vertex down to the side of length a and we cut that side into two pieces of lengths,
It turns out that
Use the Pythagorean Theorem with the two right triangles in the preceding picture to produce two equations. Subtract one equation from the other and notice that the
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