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ResourceSpotlight
Students will construct a right triangle with one altitude, establish that several triangles are similar and verify that one side is the geometric mean between two other segments, and try to alter the properties of their construction by moving the vertices.
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Texas Instruments, Inc.
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This is a Word document that has several example problems with worked out solutions for finding the Geometric Mean.
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Glencoe
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Geometric meaning of the geometric mean
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Cut The Knot
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This site discusses and actually proves why the altitude to the hypotenuse of a right triangle is the geometric mean of the segments of the hypotenuse. It also discusses the corollaries of the Right Triangle Altitude Theorem. There are also activities that the user can use to practice what was learned.
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The University of Georgia, Dept. of Mathematics, by J. Wilson
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A helpful scientific calculator that runs in your web browser window.
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Holt Online Learning
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This tutorial works with all the special relationships in right triangles, including the pythagorean theorem, geometric means, and special right triangles.
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Think Quest
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An informative site on geometric mean
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Geometric Nice?
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A discussion of these means in the context of a problem.
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Ask Dr. Math
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This page shows the differences between the concepts of arithmetic and geometric means. It also gives applications (other than altitudes of right triangles) of when and how the geometric mean is used in real-life.
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Math Toronto
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