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Materials Reminders Get out your agenda if you see your name below. I would like to have you in my FLEX tomorrow. Period 2 Period 7 Replace each ___ with >, <, or = to make it a true sentence. 1. 12 ___ 3.5 2. 41 ____ 6.4 17 3. 5.6 ___ 3 3-5 The Pythagorean Theorem How do I use the Pythagorean Theorem? Important Vocabulary A RIGHT TRIANGLE (90°) has two LEGS (a and b) and a HYPOTENUSE (c) a c b Pythagorean Theorem – the relationship between the legs and hypotenuse of any right triangle. 𝑎2 + 𝑏2 = 𝑐 2 𝑤ℎ𝑒𝑟𝑒 a and b are the leg lengths and c is the hypotenuse Questions: How do I find the hypotenuse given the two legs? Notes: 10 c 15 Pythagorean Theorem - (𝑎2 +𝑏2 = 𝑐 2 ) 102 + 152 = 𝑐 2 100 + 225 = 𝑐 2 325 = 𝑐 2 325 = 𝑐 2 18.03 = 𝑐 𝑐2 = 𝑐 × 𝑐 = c Questions: How do I tell if a triangle is a RIGHT TRIANGLE? Notes: 15 10 5 Pythagorean Theorem - (𝑎2 +𝑏2 = 𝑐 2 ) 102 + 52 = 152 ? 100 + 25 = 225 125 ≠ 225 The triangle is not a right triangle. Quick Rap http://www.youtube.com/watch?v=nbopLhP4kpo Homework Page 165-166; 8-21, and 33-34 AND Cornell Notes Summary