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The Law of Cosines and the area of a triangle — Homework
Choose the Law of Cosines for SAS or SSS, and pick the area formula that matches what you are given.
- 1.Use the Law of Cosines to find c for a triangle with a=8, b=10, included angle C=45 degrees.
- 2.Find the area of the same triangle (a=8, b=10, C=45 degrees).
- 3.Use Heron's formula to find the area of a triangle with sides 5, 6, and 7.
- 4.Given a triangle with sides a=10, b=14, c=16 (SSS, no angle known), which formula must you use to find an angle first -- the Law of Sines or the Law of Cosines? Explain.
- 5.Explain why the Law of Cosines reduces to the Pythagorean theorem when the included angle is 90 degrees.
🌲 Homeschool of the FutureTwelfth Grade · Math · week 28 homework