Essential Question How do I solve problems using the Law of Sines?
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.
For ABC, the law of sines states the following:
Example 1 Find the area of RST to the nearest tenth of a square unit.
Example 2 Find the area of JKL to the nearest tenth of a square unit if m
Example 3 Find the area of XYZ to the nearest tenth of a square unit.
Assignment Page 891, 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!!
Do Now 1.Find the area of ABC, m
Pg. 891, all in.² ft² in.² cm² km² ft² in.² m² ft² cm² km² ft² m² ft²
Example 4 Use the Law of Sines to find a & b.
Example 5 Solve PQR given the m
Homework Pg. 891, #s all
Do Now Find the area of ABC, m
Pg. 891, ODD 25. c = a = c = A=101, b=3.5, a= C=83, b=12.3, c= A=80, b=10, c= A=97, a=20.8, c= B=101, a=12.3, c=13.6