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Solving Oblique Triangles 1.Use Law of Sines to find the missing side opposite the know angle. 2. Find the missing angle using the fact that the sum of the angles of a triangle = 180°. 1. Find the largest angle using the Law of Cosines. What type Of triangle Is it? SAA SSS SSA 3. Find the final remaining side using the Law of Sines. ASA 1. Find the missing angle using the fact that the sum of the angles of a triangle =180°. 2. Find both remaining sides using the Law of Sines. Let a and b and angle A be given in triangle ABC. The Law of Sines can be used to find sin B. 1. If sin B > 1 no triangle satisfies the given conditions. 2. If sin B = 1 then B=90°. 3. If 0<sin B<1 you may have 1 or 2 triangles. a. if sin B= k the −1 let sin k = B1 in the first triangle b. Let B 2=180o −B1 o if AB2 î‚„180 then a second triangle exists. SAS 1. Use the Law of Cosines to find the side opposite the know angle. 2. Find the smaller of the remaining angles using the Law of Sines. 3. Find the missing angle using the fact that the sum of the angles of a triangle = 180°. 2. Find either remaining sides using the Law of Sines. 3. Find the remaining side using the fact that the sum of the angles of a triangle = 180°.