Geometry Section 7.2 Use the Converse of the Pythagorean Theorem.

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7.2 Converse of Pythagorean Theorem

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Presentation transcript:

Geometry Section 7.2 Use the Converse of the Pythagorean Theorem

Converse of the Pythagorean Theorem If the square of the length of the longest side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.

Verifying Right Triangles

Theorem If the square of the length of the longest side of a triangle is less than the sum of the squares of the lengths of the other two sides, then the triangle is an acute triangle a b c

Theorem If the square of the length of the longest side of a triangle is greater than the sum of the squares of the lengths of the other two sides, then the triangle is an obtuse triangle a b c

Classifying triangles Decide if the segment lengths can form a triangle, if so classify it. 10, 11, 14 24, 30, 35 15, 20, 36

Assignment Section 7.2 Page 444 Problems #4-24 even, 36(step up to writing)