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HI. This question is confusing me. We need to fine the measurements for m

 

 Sep 12, 2022
 #1
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a) The area of the triangle is \(33 \times 56 \div 2 = 924\)

 

The hypotenuse of the triangle is \(\sqrt{33^3 + 56^2} = 65\)

 

So, the length of m is \(924 \div 56 \times 2 = {\color{brown}\boxed{1848 \over 65}} \approx 28.4307\)

 Sep 12, 2022
 #2
avatar+2668 
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b) Set up a ratio table: \({19 \over m} = {22 \over 14}\)

 

Now, just solve for m.

 Sep 12, 2022
 #3
avatar+2668 
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c) I'm not very confident about this one, but the 2 triangles are similar (reflect the smaller triangles so the angles match up.)

 

Then, the left side has a side length of 32, so we have another ratio table: \({32 \over 16} = {17 \over m}\)

 Sep 12, 2022

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