Trig Star Question: Solving Chord Lengths Problem 4

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SUMMARY

The discussion focuses on solving the chord lengths problem from the Trig Star competition, specifically for chords CD, DE, and EF. Participants suggest using the Pythagorean theorem to determine the lengths once the coordinates of points D and E are established. The conversation highlights the importance of understanding the relationship between the coordinates and the lengths involved in the problem. Ultimately, the solution hinges on correctly identifying the coordinates based on given lengths.

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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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