the area of a regular pentagon is 600cm^2. calculate the length of one side of the pentagon.
please use sine rule: AreaΔ = ½ ab sin C.
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The area of a pentagon of side length t is provided by the formula t 2 ( sqrt 25 + 10 ( sqrt 5 ) ) / 4 , or 5t 2 tan ( 54 o ) / 4 . In this instance , a pentagon with one side of 10cm has a zone of 10 2 ( sqrt 25 + 10 ( sqrt 5 ) ) / 4 = 172.05 cm 2 ( precise to two decimal places ) .
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