1.
[latex]A \lt B \lt C{,}[/latex] and [latex]B = 93°[/latex]
Chapter 2: Trigonometric Ratios
Exercises: Chapter 2 Review Problems
Chapter Review Suggested Problems
Problems: # 10, 14, 18, 22, 22, 24, 26, 40
Exercises for Chapter 2 Review
Exercise Group
For Problems 1–6, explain why the description of [latex]\triangle ABC[/latex] is impossible.
2.
[latex]A \lt B \lt C{,}[/latex] and [latex]C = 58°[/latex]
Exercise Group
For Problems 7 and 8, sketch the triangle.
7.
The three angles of a triangle are [latex]20°, 50°, {and}~ 110°,[/latex] and the three sides are [latex]15[/latex] cm, [latex]6.7[/latex] cm, and [latex]18.4[/latex] cm. Sketch and label the triangle.
8.
Sketch and label an isosceles triangle with sides [latex]5[/latex] in and [latex]12[/latex] in, and one angle [latex]78°{.}[/latex]
Exercise Group
For Problems 9–12, find the unknown side of the right triangle.
9.
10.
11.
12.
13.
A triangle has sides of length [latex]33, 56,[/latex] and [latex]65[/latex]. Is it a right triangle?
Exercise Group
For Problems 19–22,
- Find the unknown side.
- Find the sine, cosine, and tangent of [latex]\theta{.}[/latex] Round your answers to four decimal places.
19.
20.
21.
22.
Exercise Group
For Problems 23–28, find the unknown side of the triangle. Round your answer to hundredths.
23.
24.
25.
26.
27.
28.
Exercise Group
For Problems 29–32, solve the triangle. Give exact values.
29.
30.
31.
32.
33.
Find the diameter of a hex nut if one of the sides is 1.5 cm.
