SOLUTION: we have atriangle ABC. Measure of angle A is 105 deg. Length of Side B is equal root2*SideC. then what is the measure of angle C? i know the answer. i need solution with basi

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Question 594914: we have atriangle ABC. Measure of angle A is 105 deg. Length of Side B is equal root2*SideC. then what is the measure of angle C?
i know the answer. i need solution with basic geometry. without trigonometry.
thanks already.

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the sizes of angles and their relationships to the lengths of the opposite sides, unfortunately involves trig
___ the Law of Sines states that the lengths of the sides is in the same proportion as the sines of the opposite angles

since A is 105º, B plus C is 75º - like 30º plus 45º

sin(30º) = 1/2 ___ sin(45º) = √2 / 2

looks like angle C is 30º