Solve the triangle for all missing sides and angles

Answer:
x = 35
C = 18.92
A = 71.07
Step-by-step explanation:
x)
Use the Pythagorean theorem to find the unknown side.
[tex]a^{2} +b^{2} =c^{2} \\\\\\12^{2} +x^{2} =37^{2} \\x^{2} = 37^{2}-12^{2}\\x=35[/tex]
For Angle C
The angle C can be found using the inverse sine function.
C=arcsin(opp/hyp)
C=arcsin(12/37)
C=18.92
For Angle A
The sum of all the angles in a triangle is 180 degrees.
A + 90 + 18.92 = 180
A = 71.07