6.4 Oblique Triangles: Law of Sines

LAW OF SINES

Here's a visual of any given triangle, showing the relationship between the ANGLE (A) and the SIDE (a)

Here's another visual of any given triangle, but in the setting of an actual circle

Above is the actual formula for the Law of Sines

Note: That you can only use the Law of Sines when you're given at least one set, (consisting of an angle and it's corresponding side length), and the measure of either one other angle or side length. However, if you have the given information, you may use the Law of Sines to find either the missing angle measure OR side length.

BEWARE OF THE PITFALL!!!!!!!!!!

when you're solving for sin, you're technically using arcsin and SHOULD (if you do it correctly) come up with TWO values that give you the same ratio....so BE CAREFUL!!!!!!



EXAMPLE PROBLEM

1) Set the problem up

2) Cross multiply

3) Get isolate the variable, b, and evaluate

4) You have your answer!

MY BEAUTIFUL BABY KARA SAYS HI!!!!!!!!!!!!!

isn't she just the PRETTIEST baby EVER?!!!

if you want to see more....ask me...

because i for sure have

pictures in my

backpack!

muah

<3

GINA YOU IS UP NEXXXXXT!!!