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Find the value of x.  Round to the nearest hundredth.

 

 Mar 26, 2021
 #1
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7 / sin30º = 14

 

7 / 14 = 14 / s           ( "s" is a side of a largest triangle)

 

x = sqrt(s2 + s2)

 

x = 7√32

 Mar 26, 2021
 #2
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There are 3 triangles in the diagram.

 

The second smallest triangle has a 90° and 30°, meaning the last angle is 60°; thus the triangle is a 30-60-90 triangle.

 

The smallest triangle is a 30-60-90 triangle as it has a 90° angle, and a 90 - 60 = 30° angle. The last angle is therefore 60°, meaning the triangle is also a 30-60-90 triangle.

 

The large triangle has a 90° and 45° angle, meaning the last angle is 45°, indicating a 45-45-90 triangle.

 

The side opposite of the 30° angle is:

7*2 = 14

 

The vertical side of the largest triangle is:

14*2 = 28

 

Therefore x =

 

28 * √2 = 28√2

 Mar 27, 2021

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