McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
6. The Law of Sines and Law of Cosines
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Exercise 58 Page 678

Remember all the methods you've learned in this chapter. For right triangles, we use some ratios and for any other triangle, we can use some laws.

See solution.

Practice makes perfect
So far we've learned some methods to solve triangles like the Law of Sines, the Law of Cosines, and the trigonometric ratios. Depending on the type of triangle and the parts we are given, we can apply them to solve the triangle.

In the table below, we will write which method to use to solve a triangle depending on the type of triangle and the given parts of it.

To Solve Given Use
A right triangle Leg-Leg Tangent ratio
Hypotenuse-Leg Sine or cosine ratio
Acute Angle-Hypotenuse Sine or cosine ratio
Acute Angle-Leg Sine, cosine, or tangent ratios
Any triangle Angle-Angle-Side Law of Sines
Angle-Side-Angle Law of Sines
Side-Angle-Side Law of Cosines
Side-Side-Side Law of Cosines