If ∠R measures 18°, q equals 9.5, and p equals 6.0, then which length can be found using the Law of Cosines?
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If R measures 18°,q equals 9.5 ,p equals 6.0 then we can find the length of PQ which is r using the law of cosines.
In trigonometric ratios law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles. Law of cosines is as under:
[tex]c^{2} =a^{2} +b^{2} -2ab cos d[/tex]
where c is the side opposite to the angle given, a,b are the other sides and d is the angle given.
We have been given ∠R=18°, q equals 9.5 , p equals 6.0 then the length r can be calculated as under:
[tex]r^{2} =p^{2} +q^{2} -2pq cos 18[/tex]
r=[tex]\sqrt{p^{2} +q^{2} -2pq cos 18}[/tex]
Hence the length of r is equal to [tex]\sqrt{p^{2} +q^{2} -2pq cos 18}[/tex].
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