8-2 The Pythagorean Theorem

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The Pythagorean Theorem and its Converse

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Presentation transcript:

8-2 The Pythagorean Theorem Vocab The Pythagorean Theorem: The way to find the sides of a right triangle Pythagorean Triple: A set of 3 numbers that satisfies the Pythagorean Theorem

Using the Pythagorean Theorem Ex 1: Solve for c Ex 2: Solve for a

Using a Pythagorean Triple Ex 3: Are these numbers a Pythagorean Triple: 3,4,5 Ex 4: Are these numbers a Pythagorean Triple: 6,8,11

Classifying Triangles If a2+b2>c2 the triangle is acute If a2+b2<c2 the triangle is obtuse Determine whether each set of measures can be the measures of the sides of a triangle. If so, classify the triangle as acute, obtuse, or right. Justify your answer. Ex 5: 30, 40, 50 Ex 6: 7, 14, 16

Word problem Ex 7: A football field is 120 yards by 50 yards. If the coach said you have to run diagonal sprints across the field, how far are you actually running?

Classwork/Homework P. 551-553 2-26 even