Download 6.1 – 6.2 Quiz Review Know how to make a simple sketch of a

6.1 – 6.2 Quiz Review
1. Know how to make a simple sketch of a triangle given three of the measures on the triangle. When getting started,
it helps to draw the triangle in such a way that 𝐴 is on the left, 𝐵 is on the right, and 𝑐 is a horizontal line
connecting 𝐴 and 𝐵. In any case, side 𝑎 is opposite angle 𝐴, side 𝑏 is opposite angle 𝐵, and side 𝑐 is opposite
angle 𝐶.
2. Know how to use the Law of Sines to solve oblique triangles of the form AAS, ASA, and SSA. Examples: 9 – 24
on page 408. In order to use the Law of Sines, you must have an angle-side pair and another side or angle measure
on the triangle. When solving for a side measure, it helps to use the form where the sides are in the numerator, and
when solving for an angle measure, it helps to use the form where the sines of the angles are in the numerator. (Be
careful with the SSA form, as there can be one solution, two solutions, or no solutions. Draw the triangle in the
form prescribed above to make a conjecture regarding the nature of the solutions before working out the algebra.)
3. Know how to use the Law of Cosines to solve oblique triangles of the form SSS and SAS. Examples: 13 – 24 on
page 415. When solving for a side measure (SAS), use the standard forms, and when solving for an angle measure
(SSS), use the alternate forms. When solving a triangle of the form SSS, it is very helpful to solve for the
largest angle first, since the range of the inverse cosine function includes obtuse angles. The range of the
inverse sine function does not include obtuse angles.
4. Know how to apply the Law of Sines and the Law of Cosines to solve real-life applications. Examples: 47 – 56 on
pages 409 – 410, and 45 – 60 on pages 416 – 417. (You may ignore problems that involve solving for the area of
a triangle, as this is not covered in this course.)