Law of Sines Use it when you are given Angle-Angle-Side (AAS) Angle-Side-Angle (ASA) Side-Side-Angle (SSA)

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Presentation transcript:

Law of Sines Use it when you are given Angle-Angle-Side (AAS) Angle-Side-Angle (ASA) Side-Side-Angle (SSA)

Write this down!!!!!

Example 1 If C = 102.3°, B = 28.7°, and b = 27.4 feet, find the remaining sides. B C A 28.7° 102.3° 27.4 ft

Example 2 If B = 45°, A = 30°, and a = 32 feet, find the remaining sides. B C A

Your Turn A = 48° B = 73° b = 1.7 a=? A = 72° B = 40° c = 15 a=?

When given SSA Use the formula to determine how many triangles are possible. Look on page 584 in your book for the cases 2 solutions a < b a > h 1 solution a > b 0 solutions a < b a < h

Example 3 If A = 42°, a = 22 inches, and b = 12 inches, find the remaining sides. B C A 42° b= 12 in22 in

Example 4 If A = 85°, a = 15 inches, and b = 25 inches, find the remaining sides. B C A 85° b= 25 in15 in

Example 5 If A = 20.5°, a = 12 meters, and b = 31 meters, find two triangles B C A 20.5° b= 31 in12 in

To find the area of an oblique Triangle

Find the area of the triangle having two sides of lengths 30 meters and 52 meters and an included angle of 102°

Homework Pg all, 7, 8, even, 32