Answer:
The length of side [tex]x[/tex] is 4.9 cm
Step-by-step explanation:
The first thing we need to do is find the third angle using the angle sum theorem.
The angle sum theorem states that the sum of the interior angles of a triangle is always 180°. A + B + C = 180°
Let's call our missing angle A, so
A + 41° + 62° = 180°
A + 103° = 180°
A = 180° - 103°
A = 77°
Now we can use the rule of sines to find side [tex]x[/tex]:
[tex]\frac{x}{sin(41)} =\frac{14}{sin(77)}[/tex]
[tex]x=\frac{14sin(41)}{sin(77)}[/tex]
[tex]x=9.4[/tex]
We can conclude that the correct answer is 9.4 cm
