Multiple choice

In a circle with center O, chords AB and CD intersect at point E. If AE = 4 cm, EB = 9 cm, and CE = 6 cm, what is the length of DE?

  1. 2

  2. 5

  3. 6

  4. 3

  5. 25
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For intersecting chords AB and CD at E, the property is AE * EB = CE * ED. 4 * 9 = 6 * ED. 36 = 6 * ED, so ED = 6.

AI explanation

Using the intersecting chords theorem, we know that AE multiplied by EB equals CE multiplied by DE. Substituting the given values, we get 4 times 9 equals 6 times DE. Solving this equation, 36 equals 6 times DE, which gives DE equals 6 cm.

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