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A median in a right triangle | plane geometry | elementary level
3 months ago
4
Science
mathematics
geometry
plane geometry
classical geometry
Euclidean geometry
angle
right triangle
triangle
median
midpoint
Episode 52.
A median in a right triangle | plane geometry | elementary level.
Branch of mathematics: plane geometry.
Difficulty level: elementary.
Theorem. A median in a triangle is equal to half of the opposite side if and only if it is a right triangle with the right angle at the vertex from which the median is drawn.
A differently phrased statement of the same theorem:
Theorem. A median $BM$ in a triangle $ABC$ is equal to $\frac{1}{2}AC = AM = MC$ if and only if $\angle{ABC}=90^{\circ}$.
Mathematics. Geometry. Plane geometry.
#Mathematics #Geometry #PlaneGeometry
The same video on YouTube:
https://youtu.be/sEMLnbj14Xs
The same video on Telegram:
https://t.me/mathematical_bunker/76
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