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mart [117]
3 years ago
11

Solve the triangle. A = 33°, a = 20, b = 13

Mathematics
1 answer:
vovikov84 [41]3 years ago
8 0
<span><span>sin<span>(A)/</span></span>a</span>=<span><span>sin<span>(B)/</span></span>b</span>=<span><span>sin<span>(C)/</span></span>c
</span>Substitute the known values into the law of sines to find <span>B

</span><span><span><span>sin<span>(B)/</span></span>13</span>=<span><span>sin<span>(33)/</span></span>20
</span></span>B=20.73 ,<span>159.26
</span>The sum of all the angles in a triangle is <span>180180</span> degrees.<span><span><span>33+20.733</span>+C</span>=<span>180
</span></span>C=<span>126.266
</span><span><span>sin<span>(A)/</span></span>a</span>=<span><span>sin<span>(B)/</span></span>b</span>=<span><span>sin<span>(C)/</span></span>c
</span>Substitute the known values into the law of sines to find <span><span>AB</span><span>A⁢B</span></span>.<span><span><span>sin<span>(126.26688907)/</span></span><span>AB</span></span>=<span><span>sin<span>(20.733)/</span></span><span>13
</span></span></span><span>AB</span>=<span>29.607
so final results are
</span><span><span>A=33</span><span>A=33</span></span><span><span>B=20.733</span></span><span><span>C=126.2668</span></span><span><span>a=20</span></span><span><span>b=13</span></span><span><span>c=29.607
hope this helps</span></span>
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