SOLUTION: find the area of triangle ABC to the nearest whole number if A=23 degrees, B=95 degrees, and b=15

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Question 963214: find the area of triangle ABC to the nearest whole number if A=23 degrees, B=95 degrees, and b=15
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%2BB%2BC=180
23%2B95%2BC=180
C=62
From the law of sines,
a%2Fsin%28A%29=b%2Fsin%28B%29=c%2Fsin%28C%29
a%2Fsin%2823%29=15%2Fsin%2895%29
a=5.88
c%2Fsin%2862%29=15%2Fsin%2895%29
c=13.29
Using Heron's formula,
s=%28a%2Bb%2Bc%29%2F2=17.087
A=sqrt%28s%28s-a%29%28s-b%29%28s-c%29%29
A=sqrt%2817.087%2811.205%29%282.085%29%283.795%29%29
A=38.92
A=39