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

What is the length of the side labeled x cm ? show your work-example-1
User TodK
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1 Answer

11 votes

Answer:

9.9 cm

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.


(x)/(\sin 40) = (15)/(\sin 77)


x = (15 \cdot \sin 40)/(\sin 77)


x \approx 9.895


x \approx 9.9 \text{ cm}