Trig Star Question: Solving Chord Lengths Problem 4

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The discussion revolves around solving the chord lengths CD, DE, and EF in a geometry problem. The original poster understands most of the problem but struggles with these specific lengths. A suggestion is made to use the Pythagorean theorem once the coordinates of points D and E are determined. The conversation highlights the importance of knowing the coordinates to apply the theorem effectively. Ultimately, the participants express gratitude for the collaborative assistance in solving the problem.
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Homework Statement


Problem 4:
http://www.nspsmo.org/_data/global/images/2010-11%20Sample%20Problems.pdf

Homework Equations


Second to last page in same document.

The Attempt at a Solution



I know how to solve everything but the minor chord lengths: CD, DE, EF

The only thing I could think of was to do something similar to problem 3, using C to the bottom left corner and its adjoining leg (and do the same for each chord), but I don't think I can solve the problem that way.

Any help is appreciated!
 
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hi rebat! :smile:
rebat said:
I know how to solve everything but the minor chord lengths: CD, DE, EF

do you know the coordinates of D and E ?

if so, then use pythagoras :wink:
 
But I don't know the coordinates :(

Edit: Hey tiny-tim!
 
for E, you know the y coordinate of E, and you know the length AE,

so the x coordinate is … ? :smile:
 
I am disappointed I didn't see that!

Thanks for the help :)
 
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