I was always interested in a question: how the Pythagorean theorem turns into the sum of a line segments? What I speak about? Here you look.
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The Pythagorean theorem and the sum of a line segments |
In geometry everything is very prime. The first time we draw a
right triangle and we write down a Pythagorean theorem. The second time we draw two a line segments and we write down the sum of a line segments.
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Right triangle and two a line segments |
How one formula turns into other formula? To see it, we use the
law of cosines. We will draw the picture, we will write down conditions, we will execute transformations.
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Triangle and the law of cosines |
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Right triangle and the Pythagorean theorem |
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The law of cosines and sum of two a line segments |
We use the law of cosines and turned the Pythagorean theorem into the sum of two a line segments. Further we will consider an
inverse transformation.
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