two chords PQ and RS intersect at T outside the circle if PQ =5cm OT =3cm TS =2cm length of - Maths - Circles

Question

two chords PQ and RS intersect at T outside the circle if PQ
=5cm OT =3cm TS =2cm length of RS is

Manish Bharti · Accepted Answer

Using intersecting secant theorem, âˆ´ TQ Ã— TP = TS Ã— TR $\Rightarrow 3 \times (5 + 3) = 2 \times TR \Rightarrow \frac{3 \times 8}{2} = TR \Rightarrow TR = 12 \Rightarrow TS + SR = 12 cm \Rightarrow 2 + SR = 12 cm \Rightarrow RS = (12 - 2) cm \Rightarrow RS = 10 cm$

two chords PQ and RS intersect at T outside the circle.if PQ =5cm OT =3cm TS =2cm length of RS is