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Converse Pythagorean Theorem

Grab and move one of the large blue points to change the triangle.

Be sure the largest side is the one with the RED measurement!
  1. Classify the triangle as acute, obtuse, or right.
  2. Enter the side measurements into a chart like the one below.
  3. Calculate A2 + B2 and C2.
  4. Create different triangles to complete the chart.

Record data in this chart.

Do any of your triangles meet the requirements of the Pythagorean Theorem?

What do you notice about the triangles where c2 < a2 + b2 ?

What do you notice about the triangles where c2 > a2 + b2 ?

Lab Activity - Converse Pythagorean Theorem

Construction Notes - Converse Pythagorean Theorem