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Transcript
Unit 5 Lesson 2 Notes 1 NAME:________________________ DATE:_________________________ Pythagorean Theorem _________________________ Since we square the numbers in the Pythagorean Theorem, let’s review squaring and taking the square root. When we square a number, we multiply the base times itself. Practice: 1) 22 = _____ 2) 42 = _____ 3) 52 = _____ When we take the square root of a number, we are finding what we could square to get that number. The symbol for square root is: ______ Practice: 1) √4 = _____ 2) √9 = _____ 3) √16 = ______ Pythagorean Theorem If you have a _______triangle and you square the lengths of the _____, then add those together, that will equal the square of the length of the _______ Formula: a2 + b2 = c2 where a and b are the lengths of the ______ and c is the length of the ________________. Label each triangle with a, b, and c. 1 Unit 5 Lesson 2 Notes 1 Example 1: An oak tree is 8 yards tall and a bird is standing on the ground 6 yards from the tree. If a bird flies directly to the top of the tree, how far will it fly? Example 2: Use the Pythagorean Theorem to solve for c if b= 3 and a = 4. Example 3) Use the Pythagorean Theorem to solve for c if a = 5 and b = 4 2 Unit 5 Lesson 2 Notes 1 3