Day 6: Students will define law of sines and the area of triangles. To use the law of sines in order to find the length of one of the sides on a triangle, you take the angle of one of the corners in the triangle and you put that number over the length of the side directly across from, or opposite of, that angle. Next, You use the angle that is opposite of the side you need to find, and you put the angle over x. The last step is you set these two fractions equal to each other and solve from there. To find the area of a triangle, you do base times height divided by two.

Quiz:

1. If in a triangle side B is 7 inches, angle B is 35 degrees, and angle C is 105 degrees, how long is side C?
2. If in a triangle side A is 10 inches, angle A is 50 degrees, and angle B is 100 degrees, how long is side B?
3. If a triangle has a base of 10 feet and the height of the triangle is 5 feet, what is the area of the triangle?

Answer Key:

1.

Side C is 11.78 feet long.

2. 

Side B is 12.8 feet long.

3. 

The area of the triangle is 25 feet square.