Question

C) In the following figure, AE = 8 cm, BE =3 cm and CE = 4 cm. Find the length of DE . ​

Answer 1

DE = 6 cm

Explanation:

The concept behind this question is the Chord-Chord Power Theorem. This product states that "if two chords intersect in a circle, then the products of the lengths of the chords segments are equal". In this case:

CE × DE = AE × BE

4 × DE = 8 × 3

4 × DE = 24
DE = 6 cm

Hope this helps!