Law of Cosines. a b c C B A When solving for missing sides and angles with a right triangle, we had the pythagorean theorem plus all the trig functions.

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Presentation transcript:

Law of Cosines

a b c C B A When solving for missing sides and angles with a right triangle, we had the pythagorean theorem plus all the trig functions to use.

But what happens if it is not a right triangle? a C With some clever mathematical manipulation we won’t discuss here, we have a way of solving these: The Law of Cosines a b c C B A Notice how this is actually the Pythagorean Thm with the added term

They’re all the same. This is just to assure you that the law applies to any labeling you use for a triangle. And when we need to use it to solve for a missing angle, we have More on this in class...

a C b c B A Find the missing side = 11 = 8

a C b c B A Find the missing angle = 11 = 8 = 10 Be careful entering this into the calculator

Both the numerator and the denominator need parentheses. The calculator needs to see the terms like this: Without them the calculator will read it like this: