Trig Star Question: Solving Chord Lengths Problem 4

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In summary, the conversation is about solving a geometry problem involving minor chord lengths. The person knows how to solve everything except for the lengths CD, DE, and EF. They suggest using a similar method to a previous problem, but are unsure if it will work. Another person suggests using the coordinates of D and E and applying Pythagorean theorem, but the first person does not know the coordinates. The second person then suggests using the length AE and the known y coordinate of E to find the x coordinate. The first person is grateful for the help and the conversation ends.
  • #1
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!
 
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  • #2
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:
 
  • #3
But I don't know the coordinates :(

Edit: Hey tiny-tim!
 
  • #4
for E, you know the y coordinate of E, and you know the length AE,

so the x coordinate is … ? :smile:
 
  • #5
I am disappointed I didn't see that!

Thanks for the help :)
 

Related to Trig Star Question: Solving Chord Lengths Problem 4

1. What is the formula for solving chord lengths in Trig Star Problem 4?

The formula for solving chord lengths in this problem is c = 2r sin(θ/2), where c represents the length of the chord, r represents the radius of the circle, and θ represents the central angle in radians.

2. How do I know which values to plug into the formula?

You will need to know the central angle and the radius of the circle in order to solve for the chord length. These values should be given in the problem or can be measured from a diagram.

3. Can I use this formula for any circle?

Yes, this formula can be used for any circle as long as you have the necessary information to plug into it.

4. What is the significance of the central angle in this problem?

The central angle represents the angle between the endpoints of the chord on the circumference of the circle. It is a crucial part of the formula for solving chord lengths.

5. Are there any other methods for solving chord lengths?

Yes, there are other methods such as using the Pythagorean theorem or the Law of Cosines. However, the formula provided in this problem is the most efficient and accurate method for solving chord lengths.

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