Please Help! Unit 8: Right Triangles & Trigonometry Homework 7: Law of Sines

The Sine Law is a mathematical formula in trigonometry that summarizes the length of a triangle's sides and the magnitude of its angles in a calculation expression: If you divide the length of a side by sine to the opposite angle, you get the same ratio for all three "pairs" of sides and opposite angles.

The formula can be used to find either side lengths or angles in a triangle by making an equation out of two of the three fractions, and isolating either a side or an angle on one side of the equals sign.

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9= 71.67°

10= 60.65°

11= 86.59°

12= 62.30°

13= 34.51°

14= 51.71°

15= 22.87°

16= 44.63°

Step-by-step explanation:

The law of sine requires that if we have three sides of length A, B and C with their respective angles as a, b and c then these can be related by

9.

Making x the subject of the formula then

10.

Making x the subject of the formula then

11.

Making x the subject of the formula then

12.

Making x the subject of the formula then

13.

Making x the subject of the formula then

14.

Making x the subject of the formula then

15.

Making x the subject of the formula then

16.

Making x the subject of the formula then

sas (side angle side)

aa(angle angle)

sss(side side side)

sas you have to find two sides with an angle in between

aa you find two angles because it will always add up to 180

sss find all sides

step-by-step explanation: