Question

In the figure below, RP is tangent to the circle at R and SP is a secant. What is the value of x?

Answer 1

@jim_thompson5910

Answer 2

check out theorem 3

http://www.regentsprep.org/Regents/math/geometry/GP14/CircleSegments.htm

Answer 3

So b would be 14 but how do you find c?

Answer 4

b is not 14

Answer 5

Its not? Then how do find it?

Answer 6

b is the length of the secant outside the circle

Answer 7

c is the length of the entire secant line

Answer 8

So b=6 and c=14?

Answer 9

correct

Answer 10

Then x= \[2\sqrt{21}\]

Answer 11

you are correct

Answer 12

Thanks for the help!

Answer 13

np