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Can anyone explain the Corollaries to Theorem 7-3. (from the Pearson Geometry textbook) I understand the Theorem but not the Corollaries. The Theorem states "The altitude to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the original triangle and to each other." Corollary 1 states "The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse." Corollary 2 states "The altitude to the hypotenuse of a right triangle separates the hypotenuse so that the length of each leg of the triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to the leg." If you can explain them to me that'd be great help. I'm not looking for any test answers by the way, because I want to understand.

Name: can anyone explain the corollaries to theorem 7 3 from the pearson geometry textbook i understand the theorem but not the corollaries the theorem states the altitude to the hypotenuse of a r 08725
Uploaded: 2023-07-13T16:24:20-08:00
Duration: 15 s
Channel: Numerade
Description: can anyone explain the corollaries to theorem 7 3 from the pearson geometry textbook i understand the theorem but not the corollaries the theorem states the altitude to the hypotenuse of a r 08725

          Can anyone explain the Corollaries to Theorem 7-3. (from the Pearson Geometry textbook) I understand the Theorem but not the Corollaries.  
The Theorem states "The altitude to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the original triangle and to each other." 
Corollary 1 states "The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse."
Corollary 2 states "The altitude to the hypotenuse of a right triangle separates the hypotenuse so that the length of each leg of the triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to the leg."
If you can explain them to me that'd be great help. I'm not looking for any test answers by the way, because I want to understand.

Added by Kathryn L.

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