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

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) (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 105�, B plus C is 75� - like 30� plus 45�

sin(30�) = 1/2 ___ sin(45�) = √2 / 2

looks like angle C is 30�
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