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Altitude-on-hypotenuse Theorem

In a right triangle, the altitude that’s perpendicular to the hypotenuse has a special property: it creates two smaller right triangles that are both similar to the original right triangle.

Exercise: Calculate the measure of the sides of a right-angled triangle knowing that the projection of one of its cathetus over the hypotenuse measures 6 cm and the altitude relative to this projection measures √24 cm.
Solutions: a = 10 cm; b = 7.75 cm; c = 6.32 cm