Bellringer/Challenge Problem

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7.2 Converse of Pythagorean Theorem

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Presentation transcript:

Bellringer/Challenge Problem We want to create a shelf for our bedroom. We have 3 pieces of wood We need to make a right triangle in order for the shelf to be even Can we make an even shelf with the wood we currently have? 6 in 8 in 9 in

Crazy Square Combinations 2x2, 3x3, 4x4 ? 5x5, 6x6, 9x9 ? 3x3, 6x6, 9x9 ? 12x12, 13x13, 17x17? 10x10, 17x17, 21x21? Your own combination Obtuse Triangle Acute Triangle Obtuse Triangle Acute Triangle Obtuse Triangle

Using Pythagorean Theorem to Prove if Triangles are Right, Acute, or Obtuse… Right Triangles: a2 + b2 = c2 Acute Triangles: a2 + b2 > c2 Obtuse Triangles: a2 + b2 < c2 Test it out: 7-8-9; 8-15-17; 4-5-10