Question

What is the Length of CB

Answer 1

Answer:

24

Step-by-step explanation:

Objective: Circle Theorems. Understand that if two tangents of a circle are tangent to the same point, they are equal.

Using that this means that

DB equal CB.

$5x + 20 = 10x + 16$

$20 = 5x + 16$

$4 = 5x$

$x = \frac{4}{5}$

Plug in line CB, 5x+20 to find the answer.

$5( \frac{4}{5} ) + 20 = 24$

Answer 2

Answer:

The answer is 24.

The length of tangents drawn from any external point to the circle is equal.

So x=4/5

Putting the value of x in CB,

we get 5(4/5)+20=24