Question

question 7 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 lengths of two of the triangles sides and the measure of the angle between them b. the measure of an angle and the length of the side opposite that angle c. the area of the triangle

Explanation:

Step1: Recall law of cosines

The law of cosines formula for a triangle with sides \(a\), \(b\), \(c\) and the angle \(C\) between sides \(a\) and \(b\) is \(c^{2}=a^{2}+b^{2}-2ab\cos C\).

Step2: Analyze required information

To find the length of a side (say \(c\)), we need the lengths of the other two sides (\(a\) and \(b\)) and the included - angle (\(C\)). So knowing the lengths of two of the triangle's sides and the measure of the angle between them is sufficient to apply the law of cosines.

Answer:

A. The lengths of two of the triangle's sides and the measure of the angle between them