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7 May, 00:45

A triangle has side cequals=1010 and angles aequals=startfraction pi over 4 endfraction π 4 and bequals=startfraction pi over 3 endfraction π 3. find the length a of the side opposite

a.

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  1. 7 May, 00:54
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    Angle C is π - (π/4) - (π/3) = 5π/12. The Law of Sines tells you

    ... a/sin (A) = c/sin (C)

    ... a = sin (A) ·c/sin (C)

    ... a = sin (π/4) ·10/sin (5π/12) ≈ 7.32

    The length of the side opposite angle A is about 7.32.
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