Question

IF PA= 10 and BE = 21 find BP

Answer 1

Assumption: Segment PA is a tangent to the circle.

Theorem:

Answer 2

According to the theorem,

10*10 = BP * PE
100 = (21 + x) * x where x is = PE

Answer 3

Solve the equation for x: 100 = (21 + x) * x

Then, add the value of x to 21 to get BP.

@hannak