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.
1 answer:
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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