The Law of Sines Day 1: Areas and AAS

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Presentation transcript:

The Law of Sines Day 1: Areas and AAS 12.4 The Law of Sines Day 1: Areas and AAS

Find the area of the triangle.

Find the area of the triangle.

Trig ratios only work with right triangles. This can be used to find the missing side of non right triangles!

Solve a triangle given 2 angles and one side Find all missing sides and angles

Solve a triangle given 2 angles and one side Find all missing sides and angles

Solve a triangle given 2 angles and one side Find all missing sides and angles

The Law of Sines Day 2: The Ambiguous case SSA 12.4 The Law of Sines Day 2: The Ambiguous case SSA

Solve a triangle given 2 sides and one angle

Solve a triangle given 2 sides and one angle Determine whether ΔDEF has no solution, one solution, or two solutions. Then solve the triangle. Round side lengths to the nearest tenth and angle measures to the nearest degree. In ΔDEF, E = 52°, e = 5, and f = 9

Solve a triangle given 2 sides and one angle Determine whether ΔXYZ has no solution, one solution, or two solutions. Then solve the triangle. Round side lengths to the nearest tenth and angle measures to the nearest degree. In ΔXYZ, X = 28°, z = 15, and x = 9.

Determine whether ΔFGH has no solution, one solution, or two solutions Determine whether ΔFGH has no solution, one solution, or two solutions. Then solve the triangle. Round side lengths to the nearest tenth and angle measures to the nearest degree. In ΔFGH, F = 36°, g = 9, and f = 6.

BASEBALL A baseball is hit between second and third bases and is caught at point B, as shown in the figure. How far away from second base was the ball caught?