Investigating Geometry: Right Triangles

Henrico County Public Schools

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May 2006

Lesson 7-1: Geometric Mean

Objective:

SOL G.7: The student, given information in the form of a figure or statement, will prove two triangles are similar. [This lesson leads to one method of proving the Pythagorean Theorem.]

 Applet Directions 1 Close 
  1. Given: Right triangle ABC with the right angle at C and an altitude drawn from C to the hypotenuse AB.

  2. How many triangles do you see?
  3. How do the triangles relate to each other?
  4. What relationship is true about the measurements shown?
  5. Slide point D to test your relationship.

  Hands-On Activities Close 
  1. Reducing Radicals PowerPoint
  2. Construct the Golden Section
  3. Explore the Golden Ratio

  Other Web Sites web Close 
  1. Glencoe: On Line Quiz