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09-11-2017
Mathematics

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for triangle ABC find the measure of line a b given measurement of angle a is 55 measurement of angle B is 44 and b equals 68

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altavistard altavistard

09-11-2017

Use the Law of Sines:

sin B   sin 81 sin 44
---------- = ----------- = --------------
side AC 68 side AB

Then (side AB)(sin 81) = 68(sin 44), or

   68 sin 44
side AB =   ----------------------- = 47.83 units long
sin 81

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