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Published byKory Oliver Modified over 9 years ago
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7 Days
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Two days
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In any triangle, the ratio of the sine of any angle to the side opposite that angle is equal to the ratio of the sine of another angle to the side opposite that angle.
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The Law of Sines can be used anytime that we are given the following information about a triangle: ◦ 1. Two sides and an angle opposite one of them (SSA) ◦ 2. Two angles and any side (AAS or ASA) If we have either SAS or SSS the Law of Sines will not be sufficient. (to be continued…)
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Find the missing pieces of the triangle given:
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If we are given two angles and any side, the Law of Sines results in exactly one triangle. However, if we are given two sides and an angle opposite one of the those sides, we could get one triangle, two triangles, or no triangles.
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Find the missing pieces of the triangle given:
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A surveyor is trying to determine the distance between A and B and chooses a point C that is 375yds from A and 530yds from B. If <BAC has a measure of, what is the distance between A and B?
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p527 #1,2,4,5,14,17 - 19,21
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Four Days
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Solve using the Law of Sines. Can we solve with the Law of Sines?
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We need the Law of Cosines to solve triangles that are SAS or SSS.
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SAS -
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SSS – Note: Find the largest angle first since arccos can give obtuse angles!
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p536 #1,3,4,6,9,11,13 - 15
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A reconnaissance airplane P, flying at 10,000ft above point R on the surface of the water, spots a submarine S at an angle of depression of 37* and a tanker T at an angle of depression of 21*, as shown in the diagram. If <SPT is 110*, what is the distance between the tanker and the submarine.
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p528 #24 p537 #12 p580 #41,43,45,47
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One Day
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We can find the area of a triangle given the lengths of all three sides or two sides and an angle. If we only know the lengths of sides we will use Heron’s Formula:
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Find the area of the triangle if a=47, b=58, and c=78
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Find the area of a triangle given A=100*, b=16, and c=18.
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p537 #18,22,29,31,33,35
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5-8 paper Glencoe area of triangle
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7.1 & 7.2 review paper
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