Question

what is the length of the side labeled x cm ? show your work

Answer 1

Answer:

9.9 cm

Step-by-step explanation:

Calculate the third angle and then use The Law of Sines.

Sum of angles in triangle is 180°.

angle + 40° + 63° = 180°

angle = 180° - 40° - 63°

angle = 77°

Now we can use the law of sines.

$\frac{x}{\sin 40} = \frac{15}{\sin 77}$

$x = \frac{15 \cdot \sin 40}{\sin 77}$

$x \approx 9.895$

$x \approx 9.9 \text{ cm}$