SOLUTION: find the area of the triangle. a=6m,b=13m,angle opposite a=10degrees

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Question 368944: find the area of the triangle. a=6m,b=13m,angle opposite a=10degrees
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the law of sines,
a%2Fsin%28A%29=b%2Fsin%28B%29=c%2Fsin%28C%29
6%2Fsin%2810%29=13%2Fsin%28B%29
sin%28B%29=%2813%2F6%29sin%2810%29
sin%28B%29=0.3762
B=22.1degrees
Since
A%2BB%2BC=180
10%2B22.1%2BC=180
C=147.9
c%2Fsin%28147.9%29=6%2Fsin%2810%29
c=18.36
Use Heron's formula to find the area,
A=sqrt%28s%28s-a%29%28s-b%29%28s-c%29%29
.
.
.
s=%281%2F2%29%28a%2Bb%2Bc%29
s=%281%2F2%29%286%2B10%2B18.36%29
s=18.68
.
.
A=sqrt%2818.68%2818.68-6%29%2818.68-10%29%2818.68-18.36%29%29
highlight%28A=20.75%29