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Sliva [168]
3 years ago
7

Math Wiz help! (law of cosines)

Mathematics
1 answer:
Gelneren [198K]3 years ago
3 0
A] Using  sine rule:
a/sin A=c/sin C
thus we can rewrite this as:
a/c=sin A/sinC
given that the ratio of a:c=2:√3+1 and C=60
thus
2/(√3+1)=sin A/sin 60
sin A=(2sin 60)/(√3+1)
sin A=0.63398
A=arcsin 0.63398~39.35°

b] <span>In triangle ABC, a = 3, b = 5, and c = 7. Find the measure of B.
the value of B will be found using cosine rule as follows:
</span>b²=a²+c²+2acCosB
thus
5²=3²+7²-2×3×7cos B
thus
25=9+49-42cos B
-33=-42cosB
cosB=0.7857
B=arccos 0.7857
B=38.21°
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