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4 cards from this section. Quick, good the night before a test.
What is the formula for the Law of Cosines?
It relates the sides of the triangle with the cosine of an included angle.
Can you remember how to find the circumcenter of a triangle?
Think about the properties of bisectors.
What does the Law of Cosines help you find in a triangle?
Remember which formulas relate sides and angles.
True or False: The Law of Sines can be applied if only two sides and one angle are known.
Think about the ratios involved with angles and sides.
Given triangle PQR with sides p = 12, q = 16, and angle P = 45°, use the Law of Cosines to find the remaining side r.
Start by computing p², q², and the cosine of angle P.
Prove using both geometric and algebraic methods that the centroid of any triangle divides each median in a 2:1 ratio.
Consider working out coordinate averages for clarity.
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