Answer
A=$248 cm$
B=$69.6^{\circ}$
C=$37.3^{\circ}$
Work Step by Step
Given information :
A= $73.1^{\circ}$
B= 243 cm
C=157 cm
Now by applying the cosine rule
$a^{2}=b^{2}+c^{2}- 2bc cos A$
$a^{2}=243^{2} +157^{2}- 2\times 243\times157\times cos 73.1$
= 615168.84
a=$\sqrt 615168.84 $
=248 cm
Now apply the sine rule
$\frac{sin A}{a} = \frac{Sin B}{b}$
sin B= $\frac{b sin A}{a}=\frac{243 sin 73.1^{\circ}}{248}$
sin B=0.9375
B=$sin^{1}0.9375$
=$69.6^{\circ}$
C= 180-(A+B)
=180-(73.1+69.6)
=$37.3^{\circ}$
