Trig Star Question: Solving Chord Lengths Problem 4

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Homework Help Overview

The discussion revolves around a problem related to calculating chord lengths in a geometric context, specifically focusing on minor chords CD, DE, and EF. Participants are referencing a specific problem from a document that includes equations relevant to the task.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster expresses familiarity with most of the problem but struggles with the minor chord lengths. They consider using a method similar to a previous problem but are uncertain about its effectiveness. Other participants inquire about the coordinates of points D and E, suggesting the use of the Pythagorean theorem for calculations.

Discussion Status

Participants are actively engaging with the problem, with one offering a potential approach involving coordinates and the Pythagorean theorem. There is a sense of collaboration, as one participant expresses gratitude for the assistance received, indicating that helpful guidance has been provided.

Contextual Notes

The original poster notes a lack of knowledge regarding the coordinates of points D and E, which is central to progressing with the problem. This uncertainty may impact the ability to apply the suggested methods effectively.

rebat
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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!
 
Last edited by a moderator:
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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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