Law of Sines.

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 When dealing with right triangles, if we want to compare the ratio of the opposite side to an angle and the hypotenuse of the triangle, we use the sine.
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Presentation transcript:

Law of Sines

SAS Triangle Area Conjecture b a C

Example 1 Find the area of the triangle. 12” 93° 11”

Law of Sines A c B b a C

Example 2 Find e. D 59° F 250 cm 38° E

Try this one on your own… Example 3 Need to find this angle hint: what do all the angles in a triangle add up to? 76o x 46o 362 m x = 316.39 m

Missing angle! The last couple examples we were missing a side length. But what if we are missing the degree of an angle? In that case you will need to take the inverse sine… lets try! On your calculator that look like this:  

Find the measure of angle B. Example 4 Find the measure of angle B. B 250’ 68° C A 150’

Example 5 17 14 x 51° x = 39.79°

Homework Law of Sines Worksheet