Question

question 10 of 10
in order to apply the law of cosines to find the length of the side of a triangle,
it is enough to know which of the following?
a. the area of the triangle
b. at least two of the angles of the triangle and the length of one of
its sides
c. the lengths of two of the triangles sides and the measure of the
angle between them

Explanation:

The Law of Cosines formula is \( c^{2}=a^{2}+b^{2}-2ab\cos(C) \), where \( a \), \( b \) are two sides and \( C \) is the included angle. Option A: Area doesn't directly give side/angle info for Law of Cosines. Option B: Knowing two angles and one side is for Law of Sines. Option C: Matches the Law of Cosines requirements (two sides and included angle) to find the third side.

Answer:

C. The lengths of two of the triangle’s sides and the measure of the angle between them