https://padlet.com/zlin9543/h8j5j0wxstfz This padlet demonstrates how to use the Law of Sine en-us 2018-05-22 14:17:07 UTC 2025-11-19 04:49:22 UTC hello@padlet.com zlin9543 https://padlet.com/zlin9543/h8j5j0wxstfz/wish/263624241 Pythagorean Theorem is best used for solving right triangles, but when it comes down to solving other types of triangles, law of sine is more commonly applied. This padlet will explain how to use law of sine to solve a non-right triangle.  ]]> 2018-05-25 12:50:36 UTC https://padlet.com/zlin9543/h8j5j0wxstfz/wish/263624241 zlin9543 https://padlet.com/zlin9543/h8j5j0wxstfz/wish/263633014 The law of sine states that the proportion of length of triangle's side to the sin of its corresponding angle is the same for other two sides. Use the right triangle on the right as an example, you can create a list of proportion like this:
A: 10/sin(90) = 10
C: 6/sin(36.9) = 10
T: 8/sin(53.1) = 10
(If you get different answers, check if your calculator is in degree mode)

As you can see, all of the proportions equal to 10, therefore you can set up an equation like this:
a/sin(A) = c/sin(C) = t/sin(T) or more commonly known as a/sin(A) = b/sin(B) = c/sin(C) 

This is the basic that you will utilize to solve more complicated problems(Remember this condition is the same for non-right triangle, too!)]]> 2018-05-25 13:21:03 UTC https://padlet.com/zlin9543/h8j5j0wxstfz/wish/263633014 zlin9543 https://padlet.com/zlin9543/h8j5j0wxstfz/wish/264551491 2018-05-30 14:55:47 UTC https://padlet.com/zlin9543/h8j5j0wxstfz/wish/264551491 zlin9543 https://padlet.com/zlin9543/h8j5j0wxstfz/wish/264553615 2018-05-30 15:02:11 UTC https://padlet.com/zlin9543/h8j5j0wxstfz/wish/264553615 zlin9543 https://padlet.com/zlin9543/h8j5j0wxstfz/wish/264553676 Using the equation derived from the law of sine, you can set up an equation like this: 15/sin(70) = x/sin(45) where x is the missing c side length. From there you will cross multiply and you will get an equation like this: 15*sin(45) = sin(70)x, then divide both sides by sin(70), and the x equals 11.3.]]> 2018-05-30 15:02:21 UTC https://padlet.com/zlin9543/h8j5j0wxstfz/wish/264553676 zlin9543 https://padlet.com/zlin9543/h8j5j0wxstfz/wish/264555805 2018-05-30 15:09:29 UTC https://padlet.com/zlin9543/h8j5j0wxstfz/wish/264555805 zlin9543 https://padlet.com/zlin9543/h8j5j0wxstfz/wish/264555847 Again, use the same equation from example 1, create an equation of 12/sin(110) = x/sin(50) where x is the missing b side length. Then cross multiply, you get 12*sin(50) = sin(110)x, and divide both sides by sin(110), then you get x = 16.7]]> 2018-05-30 15:09:35 UTC https://padlet.com/zlin9543/h8j5j0wxstfz/wish/264555847 zlin9543 https://padlet.com/zlin9543/h8j5j0wxstfz/wish/264556929 2018-05-30 15:13:18 UTC https://padlet.com/zlin9543/h8j5j0wxstfz/wish/264556929 zlin9543 https://padlet.com/zlin9543/h8j5j0wxstfz/wish/264557035 For those of who want a more in-depth explanation of how Law of Sines is valid, you can watch the video below created by Khan academy]]> 2018-05-30 15:13:41 UTC https://padlet.com/zlin9543/h8j5j0wxstfz/wish/264557035 zlin9543 https://padlet.com/zlin9543/h8j5j0wxstfz/wish/264557572 2018-05-30 15:15:30 UTC https://padlet.com/zlin9543/h8j5j0wxstfz/wish/264557572 zlin9543 https://padlet.com/zlin9543/h8j5j0wxstfz/wish/264557680 This video provides more examples and explanation about Law of Sines.]]> 2018-05-30 15:15:53 UTC https://padlet.com/zlin9543/h8j5j0wxstfz/wish/264557680