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Understanding Geometric Mean in Mathematics

Learn about geometric mean, its significance in proportions, and how it is applied in finding nth roots. Includes a relevant theorem and corollary. Practice problems provided.

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Understanding Geometric Mean in Mathematics

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  1. 7.4 Similarity in Right Triangles By Brit Caswell

  2. Pg 461

  3. Pg 461

  4. Remember, mean justmeans average, like me! Geometric Mean The geometric mean is a property of a proportion such that What is the geometric mean of 6 and 15? Geometric means are used in higher level mathematics to find the nth root ofn numbers.

  5. Thm 7.3 Corollary 1 The length of the altitude to the hypotenuse of a triangle is the geometric mean of the segments formed by the hypotenuse. Pg 462

  6. Let’s put these in a formula…

  7. Pg 463, #3 Find x and y.

  8. Pg 464

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