1. HW # 52 - p. 207# 1-23 odd Test corrections (in a different color) Warm up Week 15, Day Two Write in exponential form. 1. 6 · 6 · 6 · 6 · 6 2. 3x · 3x · 3x · 3x Simplify. 3. 3 4 4. (–3) 5 5. (2 4 ) 5 6. (4 2 ) 0 6565 (3x) 4 81 –243 2 20 1

2. Homework Check p. 218 & 219 # 1-21 all 1)C 2)A 3)C 4)C 5)D 6)A 7)B 8)C 9)D 10)B 11) A 12) C 13) C 14) C 15) B 16) 6 17) 6 18) ½ 19) 17 20 & 21) check your explanation with a neighbor

3. 4-9 Pythagorean Theorem Worksheet and power point examples

4. Pythagorean Theorem leg hypotenuse Vocabulary

5. 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.

6. 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.

7. 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.

8. 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

9. 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

10. 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 ? ? ? 

11. 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 ? ? ?

13. 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.