2 Solving Non-Right Triangles: Sine Law

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2 Solving Non-Right Triangles: Sine Law Practice Questions Haese & Harris 3rd Ed (pdf on Moodle) Ex 9.2 p223 Q1, 2, 4, 5

Sine Law THE SINE LAW STATES: STANDARD LABELING OF A TRIANGE CAPITAL letters are used to label VERTICES Sides are labeled with lowercase letters The side and vertex opposite each other are labeled with the same letter THE SINE LAW STATES:

When to use Sine Law You can use sine law to solve a non-right triangle if you know:

Examples to Try 1. Solve the following triangles giving the lengths of the sides in centimeters, correct to one decimal place and angles correct to the nearest degree.

The Ambiguous Case

Examples to Try 2. Draw diagrams showing the triangles in which AC = 17cm, BC = 9cm and a = 29° and solve these triangles.

Examples to Try 3. Find ∠ABC for the triangle ABC given that a = 50, b = 80 and A = 35°.

Examples to Try 4. Find ∠ABC for the triangle ABC given that a = 70, c = 90 and A = 75°.