Geometry Section 9.3 Pythagorean Theorem Converse.

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Presentation transcript:

Geometry Section 9.3 Pythagorean Theorem Converse

The converse of the Pythagorean Theorem is also true. Pythagorean Theorem Converse If the square of the largest side of a triangle equals the sum of the squares of the other two sides, then the triangle is a right triangle.

If a triangle is not a right triangle, then it must be either acute or obtuse.

NOTE: In all three of these statements, c must be the longest side in the triangle!!!!

Examples: Is a triangle with the given sides acute, right, obtuse or can’t exist. If the triangle cannot exist, explain why.