Solve the triangle. a = 52°, b = 14, c = 6 a ≈ 14.9, c ≈ 24.2, b ≈ 103.8 a ≈ 11.3, c ≈ 24.2, b ≈ 103.8 a ≈ 14.9, c ≈ 28.2, b ≈ 99.8 no triangles possible

If you consider

Option (A) in which

b = 14, c = 6, a = 14.9→→→→Sides of Triangle

A= 52°, C = 24.2°, B = 103.8°→→Angles of Triangle

As , you can see that sum of two sides is greater than third side

And , sum of three angles of triangle is 180°.

b +c= 14 +6=20>a=14.9

c+a=6+14.9=20.9>b=14

a+b=14.9 +14=28.9>c=6

Sum of the angles = (52)° + (24.2)°+ (103.8)°

                               =  (52)° + (128)°

                               = 180°

So, yes ,triangle is Possible.