Chapter 7: Section 7.3 || Use Similar Right Triangles
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if the altitude is drawn to the hypotenuse of a right triangle, then ...
the two triangles formed are similar to the original triangle and to each other
geometric mean (leg) theorem
in a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments the length of each leg of the right triangle is the geometric mean of the lengths of the hypotenuse and the segment of the hypotenuse that is adjacent to the leg
geometric mean (altitude) theorem
in a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments the length of the altitude is the geometric mean of the lengths of the two segments