Similar Right Triangle Theorems

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Similar Right Triangle Theorems

• Theorem 8.17 If the altitude is drawn to the
  hypotenuse if a right triangle, then the two
  triangles formed are similar to the original
  triangle and to each other.

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Geometric Mean

• If a, x, and b are positive and
• a x
• x b
• Then x is called the geometric mean between a and
  b. The geometric mean is always positive.

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Geometric Mean Theorem

• Theorem 8.16 If the altitude is drawn to the
  hypotenuse of a right triangle, then the measure
  of the altitude is the geometric mean between the
  measures of the parts of the hypotenuse.

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