Solve the triangle if possible Select the correct choice bel
Solve the triangle, if possible. Select the correct choice below and, if necessary fill in the answer box to complete your choice. A. There is only 1 possible solution for the triangle The measurements tor the remaining angles B and C and side c are as follows. B = degree C = degree c = B. There are 2 possible solutions for the triangle The measurements tor the solution with the longer side c are at follows. B = degree C = degree c = C. There are no possible solutions for the triangle.
Solution
Apply sine rule :
23/sin31.6 = 25/sinB
sinB = 0.569 ; B1 = 34.7 deg ; B2 = 180 - 34.72 = 145.3 deg
C 1 = 180 - 31.6 - 34.7 = 113.7 deg ; C2 = 11.7 deg
c/sinC = 23/sin31.6
c = 40.2
Option B there are two triangles
