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: #
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.
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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.
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Exercise Group
For Problems 23–28, find the unknown side of the triangle. Round your answer to hundredths.
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Exercise Group
For Problems 29–32, solve the triangle. Give exact values.
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33.
Find the diameter of a hex nut if one of the sides is 1.5 cm.
