Law of Cosines Advanced Math 8.2.

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Law of Cosines Advanced Math 8.2

Proof Advanced Math 8.2

Law of Cosines Standard form – use for SAS Advanced Math 8.2

Law of Cosines Alternative form – use for SSS Advanced Math 8.2

Example If a = 3.7 m, c = 6.4 m, and B = 23°, find b. Advanced Math 8.2

Example If a = 51 cm, b = 24 cm, and c = 31 cm, find the largest angle. Advanced Math 8.2

Example If b = 63.4 km, c = 75.2 km, and A = 124°40´, solve the triangle. Advanced Math 8.2

Example If a = 8 cm, b = 3 cm, and c = 9 cm, solve the triangle. Advanced Math 8.2

Heron’s formula See page 653 Advanced Math 8.2

Example If a = 48 yd, b = 75 yd, and c = 63 yd, find the area of the triangle. Advanced Math 8.2

Example If a = 12 m, b = 15 m, and c = 9 m, find the area of the triangle. Advanced Math 8.2

Example You want to buy a triangular lot measuring 1350 ft by 1860 feet by 2490 ft. The price of land is $2200 per acre. How much does the land cost? (1 acre = 43 560 ft2) Advanced Math 8.2