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Im clueless??

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

Im clueless?? in circle O, BC = 19 and DC = 35 Diagram is not drawn to scale.-example-1
User Aileen
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2 Answers

2 votes
the final answer is 45.5
Im clueless?? in circle O, BC = 19 and DC = 35 Diagram is not drawn to scale.-example-1
User Boerre
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7.8k points
4 votes

Answer:

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

User Acarlstein
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