Question

in the following figure, ray PA is a tangent to the circle at A and PBC is a secant. if AP=16, BP=10 then find BC.

Answer 1

ab =6 so ans will 26 bc 26

Answer 2

Answer:

15.6 units

Step-by-step explanation:

Given information: PA is a tangent to the circle at A, PBC is a secant, AP=16 and BP=10.

Tangent segment, $PA = AP = 16$

Let the length of BC be x.

$PB = BP = 10$

$PC=PB+BC=10+x$

Using tangent secant theorem:

$PB\times PC=PA^2$

Substitute PB=10, PC=(10+x) and PA=16 in the above formula.

$10\times (10+x)=(16)^2$

$100+10x=256$

Subtract 100 from both sides.

$10x=256-100$

$10x=156$

Divide both sides by 10.

$x=15.6$

Therefore, the length of BC is 15.6 units.