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Geometric mean theorem

Theorem that, in a right triangle, the altitude equals the geometric mean of the the two line segments on the hypotenuse created by the altitude

In Euclidean geometry, the right triangle altitude theorem or geometric mean theorem is a relation between the altitude on the hypotenuse in a right triangle and the two line segments it creates on the hypotenuse. It states that the geometric mean of those two segments equals the altitude.

From Wikipedia

In Euclidean geometry, the right triangle altitude theorem or geometric mean theorem is a relation between the altitude on the hypotenuse in a right triangle and the two line segments it creates on the hypotenuse. It states that the geometric mean of those two segments equals the altitude.

Text: Wikipédia, CC BY-SA 4.0. · Image: Kmhkmh (CC BY 4.0) ·

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