Section 7.2 Pythagorean Theorem and its Converse Objective: Students will be able to use the Pythagorean Theorem and its Converse. Warm up Theorem 7-4.

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Presentation transcript:

Section 7.2 Pythagorean Theorem and its Converse Objective: Students will be able to use the Pythagorean Theorem and its Converse. Warm up Theorem 7-4 Pythagorean Thm Theorem 7-5 Converse of Pythagorean Thm Theorem 7-6 Theorem 7-7 Homework

Theorem 7-4 Pythagorean Thm In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.

Pythagorean Triple A Pythagorean Triple is a set of nonzero whole numbers, a, b, and c that satisfy the equation a²+b²=c².

Theorem 7-5 Converse of the Pythagorean Thm If the squares of the lengths of one 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.

Theorem 7-6 If the squares 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, the triangle is obtuse.

7-7 If the squares 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, the triangle is acute.

7.2 Homework Page 360: 1-6 even, 10-15, 19, 23