# Circle Chord Length Given other Chord

Imagine you are given circle O with two perpendicular diameters drawn inside, named AC and BD. A chord has one point on point A and is concurrent with diameter AC and the circle. The chord extends to the other side of the circle, passing through diameter BD, ending at point E. The portion of the chord AE from point A to diameter BC has a length of 7 units, and the portion of the chord AE from diameter BD to point E has a length of 3 units. What would be the length of the chord EC?

I started by finding that the diameter AC, chord AE (length 10 units), and chord EC would form a right triangle, so finding the diameter would allow me to solve for chord EC. I am stuck with finding a method to solve for the diameter. The answer, rounded to the nearest tenth, is either 5.2, 6.1, 6.3, 7.1, or 7.6 units. Any help would be appreciated.

• it will help a lot if you can add a figure.
– abel
Feb 21, 2015 at 18:56
• How would make a figure? I'm sorry, I'm kind of new at this. Feb 21, 2015 at 19:03
• sorry, i don't know how. i have seen even images from note books posted here. hopefully someone will come along to help you.
– abel
Feb 21, 2015 at 19:06