Multiple choice

Two chords AB and CD of a circle intersect at E such that AE = 2.4 cm.,BE = 3.2 cm. and CE = 1.6 cm. The length of DE is -

  1. 1.6 cm.

  2. 4.8 cm.

  3. 3.2 cm.

  4. 6.4 cm.

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

When chords intersect inside a circle, products of segments are equal. AE × BE = CE × DE. 2.4 × 3.2 = 1.6 × DE. DE = (2.4 × 3.2)/1.6 = 4.8 cm. This is the Intersecting Chords Theorem.