Two chords and of a circle intersect each other at outside the circle. If and find

Question

Philoid · Accepted Answer

Two chords AB and CD of a circle intersect each other at P outside the circle.

∴ AP × BP = CP × PD

⇒ (AB + BP) × BP = (CD + PD) × PD

⇒ (6 + 2) × 2 = (CD + 2.5) × 2.5

⇒ 16 = 2.5 CD + 6.25

⇒ 2.5 CD = 9.75

⇒ CD = 3.9 cm