Question

Im clueless??

in circle O, BC = 19 and DC = 35
Diagram is not drawn to scale.

Answer 1

the final answer is 45.5

Answer 2

The diameter BA is equal to
`45.5\ units`

Explanation:

we know that

The Intersecting Secant-Tangent Theorem, states that the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment

so

In this problem

`DC^(2)=CA*BC`

we have

`BC=19\ units, DC=35\ units`

`CA=BC+BA=(19+BA)\ units`

substitute the values and solve for BA

`35^(2)=(19+BA)*19`

`BA=(35^(2)/19)-19`

`BA=45.5\ units`