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6.2 Law of Cosines

6.2 Law of Cosines. Objectives Use the Law of Cosines to solve oblique triangles Solve applied problems using the Law of Cosines Use Heron’s formula to find the area of a triangle. Pg. 643 #2-22 (every other even), 26-30 (even), 38-46 (even).

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6.2 Law of Cosines

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  1. 6.2 Law of Cosines • Objectives • Use the Law of Cosines to solve oblique triangles • Solve applied problems using the Law of Cosines • Use Heron’s formula to find the area of a triangle. Pg. 643 #2-22 (every other even), 26-30 (even), 38-46 (even)

  2. What if know two sides and the included (in between) angle?What if you have all three sides and no other givens? Law of Sines does NOT apply! • Law of Cosines is useful:

  3. 1. Solve the triangle with A = 120o, b = 7, and c = 8.

  4. 2. Solve triangle ABC if a = 8, b = 10, and c = 5.

  5. 3. Two airplanes leave an airport at the same time on different runways. One flies directly north at 400 miles per hour. The other flies on a bearing of N75oE at 350 miles per hour. How far apart will the airplanes be after two hours?

  6. Heron’s Formula for Area of a Triangle • If the 3 sides of a triangle are known, the area can be found:

  7. 4. Find the area of a triangle with a = 6 meters, b = 16 meters, and c = 18 meters.

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