Solve the triangle, if possible Select the correct choice below and fill in the

Question

Solve the triangle, if possible Select the correct choice below and fill in the answer boxes within the choice (Round to one decimal place as needed.) There are 2 possible solutions for the triangle. The measurements for the solution with the longer side c are as follows B = degrees C = degree The length of side c = The measurements for the solution with the shorter side c are as follows B = degrees C = degree The length of side c = There is only 1 possible solution for the triangle. The measurements for the remaining angles A and C and side c are as follows. B = degrees C = degree The length of side c = There are no possible solutions for the triangle.

Explanation / Answer

A = 35 deg ; a = 22 ; b = 17

use sine rule : a/sinA = b/sinB

sinB = 17*sin35/22 = 0.443

B1 = 26.30 deg ; B2 = 180 - B1 = 153.69 deg

So, C1 = 180 -35 -26.30 = 118.7 deg

C2 = 180 - 35 - 153.69 =-8.69  

So only 1 triangle is possbile: B = 25.30 = 25.3 deg; C = 118.7 deg

c/sinC = a/sinA ; c = sin118.7*22/sin35 = 33.64 = 33.6

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