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4.9 Pythagorean Theorem

4.9 Pythagorean Theorem. Standard: MG 3.3 Objective: Find the missing side of a right triangle. Square and Square Roots. Start. Square it. Root it. Result. Simplify each root below and identify as a positive root or a negative root. 9.3 PYTHAGOREAN THEOREM.

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4.9 Pythagorean Theorem

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  1. 4.9 Pythagorean Theorem Standard: MG 3.3 Objective: Find the missing side of a right triangle.

  2. Square and Square Roots Start Square it Root it Result

  3. Simplify each root below and identify as a positive root or a negative root.

  4. 9.3 PYTHAGOREAN THEOREM Applies to Right Triangles Only! hypotenuse c leg a b leg

  5. 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Find the missing side of the right triangle in the 1 centimeter grid below. x 6 8

  6. 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Find the missing side of the right triangle in the 1 centimeter grid below. 12 5 x

  7. 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Find the missing side of the right triangle in the 1 centimeter grid below. x 4 7

  8. Find the length of the diagonal for a rectangle that measures 3 inches by 4 inches. x 3 in. 4 in.

  9. To find the hypotenuse, solve for c. 1) 2) a = 3, b = 4, find c. Find the Hypotenuse

  10. Example: Find a leg • You will not always solve for the hypotenuse (c). Sometimes you will have to find a leg (a or b). • Example:

  11. To find a leg, solve for a or b. 1) 2) b = 30, c = 34 Example: Find a leg 13 12 b

  12. Practice: Pythagorean Theorem

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