Question

In circle D below, AB is tangent to circle D at A and CB is tangent to circle D at C. What is the length of BD?

Answer 1

use the pithagorean thyorem you have a 90 degree triangle.

Answer 2

AB and CB may be tangents, but they're not chords.

Answer 3

Also, they're segments.

Answer 4

First, you need to solve for x.
You need to know this:
Two tangents drawn from a point outside a circle to the circle are congruent.

Answer 5

Here is point P outside circle O.

Answer 6

Segments PM and PN are congruent.

Answer 7

Use that information with your problem to solve for x.

Answer 8

x=3

Answer 9

No. What equation did you write?

Answer 10

Well if they're congruent 2x-6=3(x-7)

Answer 11

Oops it's 15 right

Answer 12

That's the correct equation.
Distribute the 3 on the right side.

Answer 13

Oh, 15 is it. Correct.

Answer 14

So now just substitute it in and find the lengths and then use the pythagorean theorem?

Answer 15

BD=26

Answer 16

Correct.