Answer
There is no triangle with the provided measurements.
Work Step by Step
Using the ratio $\frac{a}{\sin A}$, or $\frac{1.4}{\sin 142{}^\circ }$,
We will use the law of sines to find B.
$\begin{align}
& \frac{b}{\sin B}=\frac{a}{\sin A} \\
& \frac{1.4}{\sin 142{}^\circ }=\frac{2.9}{\sin B} \\
& \sin B=\frac{2.9\sin 142{}^\circ }{1.4} \\
& B\approx 1.28
\end{align}$
As we know that the sine ratio can never exceed 1, there is no angle B for which $\sin B=1.28$.
Thus, there is no triangle with the provided measurements.
