Question

What is the length of the side labeled x cm?

Answer 1

Answer:

The length of side $x$ 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 $x$:

$\frac{x}{sin(41)} =\frac{14}{sin(77)}$

$x=\frac{14sin(41)}{sin(77)}$

$x=9.4$

We can conclude that the correct answer is 9.4 cm