SOLUTION: Triangle JKL is a right triangle with the altitude to the hypotenuse line LM. What is the geometric mean of JM and KM? A=KL. B= JL. C=LM. D= JK

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Question 1015347: Triangle JKL is a right triangle with the altitude to the hypotenuse line LM. What is the geometric mean of JM and KM? A=KL. B= JL. C=LM. D= JK
Answer by ikleyn(52786) About Me  (Show Source):
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Triangle JKL is a right triangle with the altitude to the hypotenuse line LM. What is the geometric mean of JM and KM? A=KL. B= JL. C=LM. D= JK
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In a right-angled triangle the length of the altitude drawn to the hypotenuse is the geometric mean of the measures
of segments the altitude divides the hypotenuse.

Read this lesson Arithmetic mean and geometric mean inequality - Geometric interpretations in this site.