Question

corollary 2 to theorem 7-4:
the __________ to the hypotenuse of a
__________ triangle divides the hypotenuse so
that the length of a given ______ is the geometric
__________ of the length of the hypotenuse and
the length of the segment of the hypotenuse that
is __________ to the leg.

Explanation:

This is a geometric theorem corollary about right triangles. The altitude to the hypotenuse creates proportional segments, where each leg is the geometric mean of the hypotenuse and the adjacent segment.

Answer:

The altitude to the hypotenuse of a right triangle divides the hypotenuse so that the length of a given leg is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse that is adjacent to the leg.