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In circle O, BC = 17 and DC = 30. The diagram is not drawn to scale.

A circle with center O and points D, B, and A is shown. Point C is located outside of the circle. Line CBA extends out from the circle. Line CD extends outside of the circle.

What is the length of diameter BA? Round the answer to the nearest tenth.
A. 52.9
B. 69.9
C. 35.9
D. 15.2

Respuesta :

akposevictor

Applying the secant-tangent theorem, the length of diameter, BA is: A. 52.9.

What is the Secant-Tangent Theorem?

Considering the image given, the secant-tangent theorem states that:

DC² = (BC)(BA)

Given the following:

  • BC = 17
  • DC = 30

Substitute the values into the equation

30² = (17)(BA)

900/17 = BA

BA ≈ 52.9

Length of the diameter, BA is: A. 52.9

Learn more about the secant-tangent theorem on:

https://brainly.com/question/10732273

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