4 Essential QuestionHow do I solve problems using the Law of Sines?
5 Important information: To find the area of a triangle using the sine function multiply one-half by the product of two sides and the sine of the included angle.K = ½ (side)(side)(Sin of included angle)Law of Sines: the ratio of the sine of an angle to its opposite side is the same for all angles in a triangle.
6 For ABC, the law of sines states the following:
7 Example 1Find the area of ∆RST to the nearest tenth of a square unit.
8 Example 2Find the area of ∆JKL to the nearest tenth of a square unit if m<K=59°, m<L=88°, side k=6.7in, and side l=8in.
9 Example 3Find the area of ∆XYZ to the nearest tenth of a square unit.
10 Assignment Page 891, 10-23 ALL (make the angle in #22 B instead of C) Using given information, ROUND all angles to the nearest WHOLE NUMBER before you work the problem!!
11 Do NowFind the area of ∆ABC, m<A=51°, m<B=62°, side a=7 in., and side c=5.2
12 Pg. 891, 10-23 all 14.1 in.² 30 ft² 42.9 in.² 24.7 cm² 25.2 km² ft² cm² km² ft² m² ft²
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