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 triangle's sides and the measure of the angle between themB.The measure of an angle and the length of the side opposite that angleC.The area of the triangle
Question
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 triangle's sides and the measure of the angle between themB.The measure of an angle and the length of the side opposite that angleC.The area of the triangle
Solution
The correct answer is A. The lengths of two of the triangle's sides and the measure of the angle between them.
The law of cosines, c² = a² + b² - 2ab*cos(C), is used when you know the lengths of two sides of a triangle (a and b) and the measure of the included angle (C).
Option B is not enough because the law of cosines requires knowledge of two sides and the included angle, not just one side and its opposite angle.
Option C is also not enough because the area of the triangle does not provide specific information about the lengths of the sides or the measures of the angles.
Similar Questions
If I know the measures of all three angles and none of the sides of an oblique triangle, neither the Law of Sines nor the Law of Cosines can be used to find the length of a side.Group of answer choicesTrueFalse
Which of the following can be used to find the measure of an angle of a triangle when the lengths of the sides are known?*a. Law of Sinesb. Law of Cosinesc. Law of Inertiad. Law of Entropy
What does the law of cosines reduce to when dealing with a right triangle?A.The formula for a triangle's areaB.The law of cosines cannot be applied to a right triangle.C.The law of sinesD.The Pythagorean theorem
The Law of Cosines is used to solve triangles in which two sides and the including angle (SAS) are known or those in which three sides (SSS) are known.Group of answer choicesTrueFalse
If two sides and an included angle are given, what is the most convenient to use to solve the triangle?*a. Law of Tangentsb. Law of Cosinesc. Law of Sinesd. Law of Cotangents
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.