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Investigating the Converse of the Pythagorean Theorem

Author:Harrison Bosher, Mr.Hajel, Vicki O'Malley
Use this worksheet to determine if the Converse of the Pythagorean Theorem is indeed true.

TODAY'S LESSON

Now move the green slider to make an obtuse triangle. (Do not move the sliders for a and b.) Using the applet, find c2.

Look at the value you found for c2 and compare it with your classmates values. Do you notice any patterns for the value of c2 in an obtuse triangle?

Now move the green slider to make an acute triangle. (Do not move the sliders for a and b.) Using the applet, find c2.

Look at the value you found for c2 and compare it with your classmates values. Do you notice any patterns for the value of c2 in an acute triangle?

Informative Assessment

If a triangle has sides a, b and c such that a2 + b2 = c2 then the triangle is what type of triangle?

Select all that apply
  • A
  • B
  • C
Check my answer (3)

If a triangle has sides a, b, and c such that a2 + b2 > c2 then the triangle is what type of triangle?

Select all that apply
  • A
  • B
  • C
Check my answer (3)

If a triangle has sides a, b, and c such that a2 + b2 < c2 then the triangle is what type of triangle?

Select all that apply
  • A
  • B
  • C
Check my answer (3)

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