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PLEASE HELP HURRY!!!!!!!!!


What is the length of PC¯¯¯¯¯?


Enter your answer as a decimal in the box. Round your final answer to the nearest hundredth.


____ cm



Description of drawing:


Circle A with a tangent and a secant. Point B at 11 o clock, point C at 12 o clock, and point D at 7 o clock are on the circle. Point P is at 11 o clock outside of the circle. Tangent P C and secant B D intersect at point P. Segment P B is labeled as 4 centimeters. Segment B D is labeled as 52 centimeters.

PLEASE HELP HURRYWhat is the length of PCEnter your answer as a decimal in the box Round your final answer to the nearest hundredth cmDescription of drawingCirc class=

Respuesta :

Answer:

PC = 14.42 cm

Step-by-step explanation:

If a tangent and secant are drawn from a point outside a circle, then the product of the lengths of the segments of the secant is equal to the square of the length of the tangent.

PC² = PB × BD

PC² = 4 × 52

PC² = 208

PC = [tex]\sqrt{208}[/tex]

PC = 14.42 cm

The length of PC=14.42 cm.

when a tangent and secant are drawn from a point outside a circle, then the multiplication of the lengths of the segments of the secant is equal to the square of the length of the tangent.

What is the relation between the tangent and secant line?

PC² = PB × BD

Use the given value in above formula we get,

PC² = 4 × 52

PC² = 208

[tex]PC = \sqrt{208}[/tex]

Therefore we get the value of PC is,PC = 14.42 cm.

Therefor the length of PC=14.42 cm.

To learn more about the tangent line visit:

https://brainly.com/question/6617153

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