9.3 Converse of a Pythagorean Theorem Classifying Triangles by their sides.

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Presentation transcript:

9.3 Converse of a Pythagorean Theorem Classifying Triangles by their sides

Converse of the Pythagorean Theorem If the square of the longest side is equal to the sum of the squares of the other sides then the triangle is a Right triangle.

Theorem If c 2 is less then a 2 + b 2, then the triangle is Acute

Theorem If c 2 is greater then a 2 + b 2, then the triangle is Obtuse

The Gift Wrapping Principle If you are trying to find out what type of triangle can be made from the given sides and the smaller sides sum is not greater then the largest side, then a triangle can not be made. Do you remember going over this around Christmas?

What type of Triangle Sides

What type of Triangle Sides

What type of Triangle Sides

What type of Triangle Sides

What type of Triangle Sides

What type of Triangle Sides

What type of Triangle Sides

What type of Triangle Sides

Homework Page 546 – 549 # 8 – 25, 26, 28, 36, 37, 40,