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Warm-up: Get everything out of your folders!
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7.2 Use the Converse of the Pythagorean Theorem
Use the converse to determine if a triangle is a right triangle
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Theorem 7.2 If a2 + b2 = c2, then the triangle is a right triangle. c
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Example 1: A. 23 11 20 B. 10 8
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Theorem 7.3 If c2 < a2 + b2, then the triangle is an acute triangle. c b a
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Theorem 7.4 If c2 > a2 + b2, then the triangle is obtuse. b a c
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Example 2 Can segments with length 11.2 in, 6.5 in and 7.1 in form a triangle? If so, would the triangle be acute, right or obtuse?
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Example 3 Tell whether the following triangles are right triangles:
4, 8, 10, 11, 14 5, 6,
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Example 4: Example 5:
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Example 6: On the next slide you will find a multi-step word problem. One a separate piece of paper: Put your name, date and period Complete the problem showing all of your work This will count as a quiz grade! 15 points When you are done, start your home on the side board.
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Homework Pg. 444 — 447 (1, 3, 6, 15, 16, 23, 26)
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