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What is the length of the side labeled x cm?

What is the length of the side labeled x cm?-example-1
What is the length of the side labeled x cm?-example-1
What is the length of the side labeled x cm?-example-2
User Benwiggy
by
8.1k points

1 Answer

3 votes

Answer:

The length of side
x is 4.9 cm

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:


(x)/(sin(41)) =(14)/(sin(77))


x=(14sin(41))/(sin(77))


x=9.4

We can conclude that the correct answer is 9.4 cm

User Aniket Thakur
by
8.4k points

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