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11-09-2017
Mathematics

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Given that A=84, B=66 and a=13 solve triangle ABC. Round to the nearest hundredth.

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11-09-2017

Using the sine rule
b / sin B = a / sin A so:-

b / sin 66 = 13 / sin 84th

Angle C = 180 - (66+84) = 30 degrees

c / sin 30 = 13/sin84

c = (13*sin 30) / sin 84 = 6.54 to nearest 1/100th

That s it.

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