BQ#1: Unit P Concepts1 & 4: Law of Sines (AAS, ASA) & Area of an Oblique Triangle

i. Law of Sines:
The Law of Sines is important to use for triangle that are not perfect right triangles, as we have previously dealt with. Instead, the Law of Sines allows us to cut a non-right triangle in order to get two right triangles within it, which we then use to find the height and get the area. The following image shows how the Law of Sines is derived.

iv. Area Formulas:The area of an oblique triangle is derived from the traditional area of a traditional triangle: A=1/2bh. Oblique triangles don't have a definite height because they are non-right triangles as well. The following image shows how it is derived and how the traditional area and the area of an oblique triangle are connected.