Answer:
No, the triangle is not possible.
Step-by-step explanation:
Given,
A triangle ABC in which C = 38°, a = 19, c = 10,
Where, angles are A, B and C and the sides opposite to these angles are a, b and c respectively,
By the law Sines,
[tex]\frac{sin A}{a}=\frac{sin C}{c}[/tex]
[tex]\implies sin A = \frac{a sin C}{c}[/tex]
By substituting the values,
[tex]sin A = \frac{19\times sin 38^{\circ}}{10}[/tex]
[tex]=1.16975680312[/tex]
[tex]\implies A=sin^{-1}(1.16975680312)[/tex] = undefined
Hence, the triangle is not possible with the given measurement.
