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.
![The Pythagorean theorem and the sum of a line segments The Pythagorean theorem and the sum of a line segments. Mathematics For Blondes.](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg0OyYQqSht6qpCj5LzibNDXiFepCs-2ilh2yKVYUrq_YKVSD1dOyIYnCIP_YYG8JOe1B6HtgO8jyz-TSI5Ek_BbZSgOGIjuGMZyuMX46q1lLXZ8Dde3yg-eQuk23tQEnh1E7K9q3dbZaJY/s1600/The+Pythagorean+theorem+and+the+sum+of+a+line+segments.jpg) |
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.
![Right triangle and two a line segments Right triangle and two a line segments. Mathematics For Blondes.](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgk2C9ptj48zc5iKHxA6XvdpEwpAlqdh3rxm1nNjNnh46SPB71B3eNvzie-t0Bre6eASV4Hnc2Y4dcT4t-JFVZGu3S-eX-m1hVe2u2rdAYDRokoWACMHTbakbvWKDGVV8J_0yZHXGQxmtD1/s1600/Right+triangle+and+two+a+line+segments.jpg) |
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.
![Triangle and the law of cosines Triangle and the law of cosines. Mathematics For Blondes.](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhLpIBAq_LT_WRnQBtasTAjbn96m6OihIH4lKHi0lNL0XW4cVsjVZ5NywyZQXZ-W9U11X56k9MLxGH8kWFTi6dUC6B4nVLRmzZHOAbYjxrsfzyETtqxq1iatAWn-b0jHcxSufTYGxxaXQVc/s1600/Triangle.jpg) |
Triangle and the law of cosines |
![Right triangle and the Pythagorean theorem Right triangle and the Pythagorean theorem. Law of cosines. Mathematics For Blondes.](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjYMHt5Zv78u2CaeLXtlRMSD3wVIQI0V97KZsDqwtisq_HQ9ILfo-lL10xNIRIvTa4FKueIrR7rP9LiQkXP2k5tKCrCLJGbuyjCPgJgjGNhjP32utLC1t2X342VPniuzVBioTMJ7EjI6VlK/s400/Right+triangle.jpg) |
Right triangle and the Pythagorean theorem |
![The law of cosines and sum of two a line segments The law of cosines and sum of two a line segments. Mathematics For Blondes.](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgGUY_O76SbAqpIp1YImOCYMSJqgihXanP4dHmnFlGW5YPXGCzkuoMv1IcSQWyW-z7CRu2gpDCox_j5uIkq_z4DB4aBIJs3CPUyi_A3fl5yk_OcMZ3Jr-BavTql245Uv1-_BXMDKsxXhqjk/s320/The+law+of+cosines+and+sum+of+two+a+line+segments.jpg) |
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.
No comments:
Post a Comment