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HW # 52 - p . 207# 1-23 odd Test corrections (in a different color) Warm up

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

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HW # 52 - p . 207# 1-23 odd Test corrections (in a different color) Warm up

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  1. Week 15, Day Two HW # 52 - p. 207# 1-23 odd Test corrections (in a different color) Warm up Write in exponential form. 1.6 · 6 · 6 · 6 · 6 2. 3x · 3x · 3x · 3x Simplify. 3. 34 4. (–3)5 5. (24)5 6.(42)0 65 (3x)4 81 –243 220 1

  2. Homework Check p. 218 & 219 # 1-21 all C A C C D A B C D 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. Goals for Today • 4-9 Pythagorean Theorem • Worksheet and power point examples

  4. Vocabulary Pythagorean Theorem leg hypotenuse

  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. Additional Example 1A: Calculating the Length of a Side of a Right Triangle Use the Pythagorean Theorem to find the missing measure. c 12 cm 16 cm 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. b 5 cm 13 cm The length of the missing leg is 12 cm.

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

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

  10. Check It Out! Example 3A Tell whether the given side lengths form a right triangle. A. 10, 15, 20 ? a2 + b2 = c2 Compare a2 to b2 to c2. ? Substitute the longest side length for c. 102+ 152 = 202 ? 100 + 225 = 400 Simplify the powers. 325 ≠ 400 Add.  The side lengths do not form a right triangle.

  11. Check It Out! Example 3B Tell whether the given side lengths form a right triangle. B. 8, 15, 17 ? a2 + b2 = c2 Compare a2 to b2 to c2. ? Substitute the longest side length for c. 82+ 152 = 172 ? Simplify the powers. 64 + 225 = 289 289 = 289 Add.  The side lengths form a right triangle.

  12. Lesson Quiz Use the Pythagorean Theorem to find each missing measure. 2. 1. 21 in. 40 m 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 Tell whether the given side lengths form a right triangle. yes no 5. 33, 56, 65 4. 2.5, 3, 4.5

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