In a circle, the chords AB and CD intersect each other at point L (internally). If AL = 8 cm, LB = 6 cm and LD = 5 cm, then find the CL.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 9.6 cm.
When two chords intersect inside a circle, the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.
Applying this theorem to the given problem, we get:
AL × LB = CL × LD
Substituting the given values:
8 × 6 = CL × 5
48 = 5 × CL
CL = 48 / 5
CL = 9.6 cm