1. HW # 53 - p. 209 # 25-32 all Warm up Week 15, Day Three 21 in. 40 m Use the Pythagorean Theorem to find each missing measure. 1. 2. 3. Each rectangular section of a fence is braced by a board nailed on the diagonal of the section. The fence is 6 ft tall and the brace is 10 ft long. What is the length of the section? 8 ft no yes 5. 33, 56, 654. 2.5, 3, 4.5 Tell whether the given side lengths form a right triangle.

2. Friday Bagels Cream cheese Donuts Fruit Juice Healthy stuff! Napkins/Plates/Cups

3. Missing Work Get it in by today or Friday – Signed guardian letter – HW TOC Nov 26-Dec14

4. Extra Credit After break TBA

5. Homework Check p. 207 & 208 # 1-23 odd 1)20 m 3) 24 cm 5) Yes 7) Yes 9) 15 ft 11) About 21.2 mi 13) No 15) 5 17) 13 19) 9 21) yes, 6 2 + 8 2 = 10 2 23) 22.6 ft

6. 4-9 Pythagorean Theorem Concept Connection – Divide and Conquer (exponents) Challenge

7. Pythagorean Theorem leg hypotenuse Vocabulary

8. The Pythagorean Theorem shows that a special relationship exists between the sides of a right triangle. You can use the theorem to find the length of any side of a right triangle.

9. Use the Pythagorean Theorem to find the missing measure. Additional Example 1A: Calculating the Length of a Side of a Right Triangle 12 cm 16 cm c The length of the hypotenuse is 20 cm.

10. Additional Example 1B: Calculating the Length of a Missing Side of a Right Triangle Use the Pythagorean Theorem to find the missing measure. 5 cm b 13 cm The length of the missing leg is 12 cm.

11. Use the Pythagorean Theorem to find the missing measure. 11 cm 15 cm c The length of the hypotenuse is about 18.6 cm. Check It Out! Example 1A

12. Use the Pythagorean Theorem to find the missing measure. 3 cm b 5 cm The length of the missing leg is 4 cm. Check It Out! Example 1B

13. Tell whether the given side lengths form a right triangle. Check It Out! Example 3A a 2 + b 2 = c 2 10 2 + 15 2 = 20 2 100 + 225 = 400 The side lengths do not form a right triangle. Compare a 2 to b 2 to c 2. Substitute the longest side length for c. Simplify the powers. Add.325 ≠ 400 A. 10, 15, 20 ? ? ? 

14. Tell whether the given side lengths form a right triangle. Check It Out! Example 3B a 2 + b 2 = c 2 8 2 + 15 2 = 17 2 64 + 225 = 289 The side lengths form a right triangle. Compare a 2 to b 2 to c 2. Substitute the longest side length for c. Simplify the powers. Add.289 = 289 B. 8, 15, 17 ? ? ?

16. Lesson Quiz 21 in. 40 m Use the Pythagorean Theorem to find each missing measure. 1. 2. 3. Each rectangular section of a fence is braced by a board nailed on the diagonal of the section. The fence is 6 ft tall and the brace is 10 ft long. What is the length of the section? 8 ft no yes 5. 33, 56, 65 4. 2.5, 3, 4.5 Tell whether the given side lengths form a right triangle.