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Published byRoderick Gibbs Modified over 9 years ago
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Think back to geometry. Write down the ways to prove that two triangles are congruent.
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Section 6.1
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For a triangle with angle measures A, B, C and side lengths opposite those angles of a, b, c: True for any triangle (acute, right, obtuse)
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Solving a triangle means finding all side lengths and angle measures Use Law of Sines A+B+C=180˚ For examples, you-try’s and homework, round side lengths and angle measures to 3 decimal places. Law of Sines can be used to solve a triangle if 2 angles and 1 side are known (SAA or ASA) or two sides and an angle opposite one of them (SSA)
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1. Start by drawing a rough sketch of a triangle (not to scale) 2. Find the third angle measure (A+B+C=180˚) 3. Use Law of Sines twice to find the two missing side lengths 4. Draw a better version of your triangle (to scale) 5. Check that your longest side is across from biggest angle, shortest side is across from smallest angle
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Solve the triangle
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Page 607 #1-13 Every Other Odd Page 608 #17-29 Every Other Odd Page 608 #33-45 Every Other Odd
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Find all angles θ in the interval [0, 2π) such that
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Given two side lengths and an angle opposite one of them, there could be 0, 1, or 2 triangles
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Assume a, b, and A are given If, then there are no triangles If, then there is one right triangle If, then there are two triangles If, then there is one triangle The Law of Sines will give you the number of triangles
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Solve the triangle
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Page 607 #1-13 Every Other Odd Page 608 #17-29 Every Other Odd Page 608 #33-45 Every Other Odd
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Solve the triangle (hint: there are two solutions)
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An oblique triangle is one that does not contain a right angle Area is one half the product of the length of two sides and the sine of the included angle
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Find the area of a triangle with the following measurements
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Page 607 #1-13 Every Other Odd Page 608 #17-29 Every Other Odd Page 608 #33-45 Every Other Odd
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