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# Basic Geometry and Angles

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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
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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
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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