Solve the triangle ABC, if the triangle exists. B = 38 degree 06\' a = 38.3 b =
ID: 3026058 • Letter: S
Question
Solve the triangle ABC, if the triangle exists. B = 38 degree 06' a = 38.3 b = 28.4 Select the correct choice below and fill in the answer boxes within the choice. A. There are 2 possible solutions for the triangle. The measurements for the solution with the longer side c are as follows. m angle A = degree ' m angle C = degree ' (Simplify your answer. Round to the nearest degree as needed. Round to the nearest minute as needed.) The length of side c = (Round to the nearest tenth as needed.) The measurements for the solution with the shorter side c are as follows. m angle A = degree ' m angle C = degree ' (Simplify your answer. Round to the nearest degree as needed. Round to the nearest minute as needed.) The length of side c = (Round to the nearest tenth as needed.) B. There is only 1 possible solution for the triangle. The measurements for the remaining angles A and C and side c are as follows. m angle A = degree ' m angle C = degree ' (Simplify your answer. Round to the nearest degree as needed. Round to the nearest minute as needed.) The length of side c = (Round to the nearest tenth as needed.) C. There are no possible solutions for this triangle.Explanation / Answer
B = 38 .06' or 38.001 degrees
a = 38.3
b = 28.4
applying law of sines
a / sin A = b / sin B
plugging the values
38.3 / sin A = 28.4 / sin 38.001
A = 56 degrees
C = 180 - ( 56 + 38) = 86 degrees
again applying law of sines
b / sin B = c / sin C
28.4 / sin 38.001 = c / sin 86
c = 46
there is one possible solution