Converse of the Pythagorean Theorem

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Converse of the Pythagorean Theorem - PowerPoint PPT Presentation

Converse of the Pythagorean Theorem. PYTHAGOREAN THEOREM. Determining if a Triangles is Acute, Right, or Obtuse. If c 2 &gt; a 2 + b 2 , the triangle is obtuse. If c 2 = a 2 + b 2 , the triangle is right. If c 2 &lt; a 2 + b 2 , the triangle is acute.

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Converse of the Pythagorean Theorem

Determining if a Triangles is Acute, Right, or Obtuse
• If c2 > a2 + b2, the triangle is obtuse.
• If c2 = a2 + b2, the triangle is right.
• If c2 < a2 + b2, the triangle is acute.
• Remember a + b > c, or it is not a triangle.
Determine whether each of the following is a triangle. If so, tell whether it is acute, right or obtuse.
• 7, 8, 9
• 5, 12, 13
• 8, 11, 19
• 8, 15, 22
Homework
• Pg. 436: 3-5, 8-10
• Pg. 444: 3-23(odds)