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Tuesday, May 4, 2010

Review

Law of sines

\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C} = 2R,


Law of cosines

c^2=a^2+b^2-2ab\cos C ,\,


Area of a triangle
Area =  \frac{1}{2}ab\sin \gamma = \frac{1}{2}bc\sin \alpha  = \frac{1}{2}ca\sin \beta



Area of a triangle using Heron's formula

(we did not learn this one in class but i thought it might be useful)

You can use herons formula if you are given all sides and no angles

Area = \sqrt{s(s-a)(s-b)(s-c)}

where s= \frac{a+b+c}{2} 

1 comment:

  1. Remember that those are three separate area formulas.

    Also there are two other formulas for law of cosines.
    b^2=a^2+c^2-2ac cosB
    a^2=b^2+c^2-2bc cosA

    ReplyDelete

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