Section 8-3 The Converse of the Pythagorean Theorem.

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Presentation transcript:

Section 8-3 The Converse of the Pythagorean Theorem

Theorem 8-3 If the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

Examples: Determine if the given measures are measures of the sides of a right triangle , 48, , 75, , 36, , 60, 80 Yes No Yes No

Some Common Right Triangle Lengths: 3, 4, 5 5, 12, 13 8, 15, 17 7, 24, 25

Theorem 8-4: If, then and is acute Example:

Theorem 8-5: If, then and is obtuse Example:

Examples: Classify each triangle with sides of the given lengths as acute, right, or obtuse. 1. 5, 12, , 7, , 3, Obtuse Acute Right