Question 247700: Sketch the triangle and use the Law of Cosines to find the indicated value. Round your answer to the nearest hundredth.
1. Find the third side of a triangle with sides of 19 m and 16 m and an included angle of 43.
2.Find the third side of a triangle with sides of 35 ft and 26 ft and an included angle of 16.
3 Find the third side of a triangle with sides of 120 cm and 100 cm and an included angle of 47.
4.Find the angle opposite the longest side in a triangle with sides of
43 ft,48 ft, and 65 ft.
5 Find the two smaller angles in a triangle with sides of 7in., 7in., and 13 in.
Answer by richwmiller(17219)   (Show Source):
You can put this solution on YOUR website! Find the third side of a triangle with sides of 19 m and 16 m and an included angle of 43.
the law of cosines reduces to this for the third side when you know two sides and the included angle.
c=sqrt(a^2+b^2-2abcos(angle))
c=sqrt(19^2+16^2-2(19)(16)cos(43))
which works out to
c=sqrt(617-608cos(43))
cos43=0.555113302
#4 The longest side of a triangle will always be opposite the largest angle and the smallest side will always be opposite the smallest angle.
#5 two sides are equal so two angles will be equal
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