Law of Cosines Worksheets
What is the Law of Cosines?
One of the branches of mathematics, which helps in describing the nature of the geometric figure, the triangle is known as trigonometry. There are various laws that help in solving the parts of the triangle which are not known. One of those laws is the law of cosine. The law of cosine is derived from the Pythagoras theorem, with the prospect that it works for all the triangles.
The law of cosine is: c^{2} = a^{2} + b^{2}  2ab cosC
The two other versions of the law of cosines are: a^{2}= c^{2} + b^{2}  2bc cosA
And b^{2} = a^{2} + c^{2}  2ac cosB.
Since all three versions differ in terms of labeling of the triangle, you can just verify one of them, and you're good to go.

Basic Lesson
Guides students solving equations that involve an Law of Cosines. Demonstrates answer checking. This problem involves all three sides but only one angle of the triangle. This fits the profile for the Law of Cosines.
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Intermediate Lesson
Demonstrates how to solve more difficult problems. In &tri;ABC a parallelogram, the adjacent sides measure 40 cm and 22 cm. If the larger angle of the parallelogram measure 116° , find the length of the larger diagonal, to the nearest integer.
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Independent Practice 1
A really great activity for allowing students to understand the concept of Law of Cosines. Three sides of a triangle measure 32m, 28m, and 32m. Find the largest angle of the triangle to the nearest degree.
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Independent Practice 2
Students find the Law of Cosines in assorted problems. The answers can be found below.
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Homework Worksheet
Students are provided with problems to achieve the concepts of Law of Cosines.
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Good Thing He Didn't Listen...
For God's sake, please give it up. Fear it no less than
the sensual passion, because it, too, may take up all your time and deprive
you of your health, peace of mind and happiness in life.
[A letter to his son Janos urging him to give up work on nonEuclidean geometry.]