Question

C, E, equals, 12CE=12, D, A, equals, 12DA=12, and E, B, equals, 9EB=9. Find the length of start overline, C, D, end overline
CD
. Round your answer to the nearest tenth if necessary.

Answer 1

I’m missing the diagram so I need to check what the labels mean. Two common interpretations give two different answers. The intersecting-chords theorem (for two chords AB and CD meeting at E) is

AE * EB = CE * ED.

Using that:

- If "DA = 12" was a typo for DE = 12, then CE = 12 and DE = 12 so CD = CE + DE = 12 + 12 = 24.

- If "DA = 12" was meant to be AE = 12, then AE = 12, EB = 9 and CE = 12, so
12 * 9 = 12 * ED ⇒ ED = 9, and CD = CE + ED = 12 + 9 = 21.

If you can confirm which segment DA was intended to denote (AE, DE, or the whole AD) or share the diagram, I’ll give the single correct answer.