SOLUTION: Given triangle ABC with the measure of angle A = 30o, the length of BC = 9, and the length of AC = 11. How many solutions are there for the measure of angle B?
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Question 242755: Given triangle ABC with the measure of angle A = 30o, the length of BC = 9, and the length of AC = 11. How many solutions are there for the measure of angle B? Answer by solver91311(24713) (Show Source):
Two. Since for a 30° angle, BC would have to be one-half of AC if the triangle were a right triangle, and 9 is not one-half of 11, we know this is not a right triangle. Hence there is a possible obtuse angle solution for B and a possible acute angle solution for B.
