1. S ECTION 5-6 Law of Cosines & Area

2. S ECTION 5-6 the Law of Cosines solving triangles (SSS and SAS) finding the area of a triangle (SAS) Heron’s Formula (Area of Δ SSS) applications

3. L AW OF C OSINES used to find the missing parts of triangles if you are given SSS or SAS which you use depends on what’s given and what you are trying to find

4. L AW OF C OSINES for SSS, a triangle exists only if the two small sides have a sum greater than the third side for SSS or SAS, there is only one possible solution (both are congruences in geometry) in either case, you will need to use Law of Cosines twice to find all the missing parts

7. A REA OF A T RIANGLE SAS the area of a triangle can be found if you are given SAS using the following:

8. Find the area of a regular octagon inscribed in a circle with radius of 9.

9. H ERON ’ S F ORMULA to find the area of a triangle if you are given SSS use Heron’s Formula (sometimes called Hero’s Theorem) s is called the semiperimeter

10. Find the area of a triangle with sides 12, 14, and 20

11. The bases on a baseball diamond are 90 feet apart and the pitcher’s rubber is 60.5 feet from the back corner of home plate. Find the distance from the pitcher’s rubber to first base.