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The altitude to the hypotenuse of a right triangle forms two triangles that are similar to each other and to the original triangle.
Theorem: The altitude to the hypotenuse of a right triangle is the mean proportional between the segments into which it divides the hypotenuse
longest side across from the right angle
Leg Rule:
piece of hypotenuse that touches the leg
Altitude Rule:
Theorem:Each leg of a right triangle is the mean proportional between the hypotenuse and the projection of the leg on the hypotenuse
In this case the pieces are the sides