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LAW OF SINES The Law of Sines determines that in any triangle, the ratio of the sine of an angle is always proportional to the measure of the side opposite to that angle. This theorem shows that in the same triangle the ratio between the value of a side and the sine of its opposite angle will always be constant. How to do the Law of Sines? Law of Sines The Law of Sines determines that in any triangle, the ratio of the sine of an angle is always proportional to the measure of the side opposite to that angle. This theorem shows that in the same triangle the ratio between the value of a side and the sine of its opposite angle will always be constant. In this lesson, we will solve the question: 1) The internal base angles of triangle ABC measure 75 and 60. What is the length of the side opposite to the angle of 60, knowing that the base of this triangle measures 32 cm? Now you will solve the question: 2) A triangle ABC has angles A = 30° and C = 120°. Furthermore, side AB of this triangle measures 100 cm. What is the measure of side AC? (Consider √3 = 1.7). a) 56.6 cm b) 66.6 cm c) 76.6 cm d) 86.6 cm e) 96.6 cm ----------------------------- How to use the Law of Sine and Cosine? “The square of one of the sides of the triangle is equal to the sum of the squares of the other two sides, minus twice the product of these two sides by the cosine of the angle formed between them”. When to apply the Law of Sines and Cosines? The Law of Sines and Cosines is applied to acute triangles (those that have all acute angles less than 90°) and obtuse triangles (those that have internal angles greater than 90°). law of sines exercises law of sines examples law of cosines law of sines circumference law of sines and cosines exercises with answer key law of sines and cosines when to use list of law of sines and cosines conclusion law of sines and cosines

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