Two sides and an angle are given below Determine whether the

Two sides and an angle are given below. Determine whether the given information results

Applying sine rule in the given triangle:

b/sinB = c/sinC

sinC = c*sinB/b = 7*sin20/5 =0.478

C1 = 28.60 ; C2 = 180 - 28.60 = 151.4 deg

Angle A1 = 180 - B- C1 = 131.4 deg

Angle A2 = 180 -B -C2 = 8.6 deg

Now find a1: a1/sinA1 = 5/sin20

a1 = 10.97

a2 : a2/sinA2 = 5/sin20 = 2.186

So, OPtion B : Two triangles with

C1 = 28.60 , A1 = 131.4 deg and a1 = 10.97

C2 =151.4 ; A2 = 8.6 deg and a2 =2.186