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Inverse Pythagorean theorem | plane geometry | intermediate level
10 months ago
21
Health & Science
mathematics
geometry
plane geometry
classical geometry
Euclidean geometry
perpendicular
inverse Pythagorean theorem
Pythagorean theorem
altitude
area
Episode 123.
Inverse Pythagorean theorem | plane geometry | intermediate level.
Branch of mathematics: plane geometry.
Difficulty level: intermediate.
Inverse Pythagorean theorem. Let $ABC$ be a right triangle with right angle $C$. Let $BC=a$, $CA=b$, and let $h$ be the length of the altitude of the triangle from the vertex $C$. Then $\frac{1}{a^2} + \frac{1}{b^2} = \frac{1}{h^2}$.
Mathematics. Geometry. Plane geometry.
#Mathematics #Geometry #PlaneGeometry
The same video on YouTube:
https://youtu.be/6vn3b-QP_lc
The same video on Telegram:
https://t.me/mathematical_bunker/148
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