1. LAW OF SINES Math Podcast . Jessica Hill ; Pre Calculus

2. The Law Of Sines can be used to solve triangles that are not right triangles. A unique triangle can be formed if you know the meauses of two angles and one included side (ASA) or measures of two angles and a non-included side (AAS) .

3. Allowing ABC to be any triangle with a , b , and c being opposite of the measures of the sides oppostie of the angles with measurements A , B , and C. The area K can be found using the following formulas; K= ½ bc sin A K= ½ ac sin B k= ½ ab sin C Area of Triangles

4. Find the area of ∠ABC if a=5 c=12.4 , and B=45° K= ½ ac sin B K= ½ (5)(12.4) sin 45° K = 21.92031022 The area of angle ABC is about 22 square units

5. Formula For Law Of Sines ; __a__ = __b__= __c__ sinAsinBsinC

6. a = 7 cm, ∠B = 45°, and ∠C = 75° Since the sum of the three angles in every triangle is 180°, subtract the two angle measures from 180° to determine the measure of the third angle. Finding the side lengths is more difficult; finding a method for determining the side lengths is the purpose of this lesson