Altitude to the Hypotenuse

Gain some altitude with the geometric mean. Pupils discover the relationship between the three triangles formed by drawing the altitude to the hypotenuse in a right triangle. The lesson introduces the geometric mean and provides problems to solve using the relationship. 

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CCSS: Designed
Instructional Ideas

  • Conduct a short review about means and extremes of a proportion
Classroom Considerations

  • The class should be able to solve quadratic equations by taking square roots
  • Individuals should know ways to prove triangles are similar
Pros

  • Includes answer keys
  • Contains doc versions to allow for editing
Cons

  • None
Common Core