Calculate the area of the triangle, using the Heron's formula.


Doing this way, you get for the area of the triangle the value of 101.666  cm^2.


The area of the triangle also can be found using the formula


    area = ,


where   is the angle between the sides  of  14 and 19 cm.


So,   = 101.666 


It gives   =  = 0.764.


Also, notice that  14^2 + 19^2 = 557 < 900 = 30^2.


Hence, the angle  must be acute.


It gives for   the unique answer  


     = arcsin(0.764) = 0.86949 radians = 49.8 degrees   (rounded as requested).