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Acellus - Angle Measures and Segment Length

Wanted to share this:
p(p+q) = r(r+s)

In this case, solve for s, or x.
Please don't take this down, I'm just tryna pass on knowledge for anyone looking for this!

Acellus - Angle Measures and Segment Length Wanted to share this: p(p+q) = r(r+s) In-example-1
User Buzzsaw
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We have been given diagram of a circle and its secants. We are asked to find the value of x.

We will use secant-secant theorem to solve our given problem.

When two secants share a common end-point outside circle, then the product of one secant segment and its external segment is equal to the product of other secant segment and its external segment.

Using secant-secant theorem, we will get an equation:


6\cdot(12+6)=5\cdot (5+x)

Let us solve for x.


6\cdot(18)=25+5x


108=25+5x


25+5x=108


25-25+5x=108-25


5x=83


(5x)/(5)=(83)/(5)


x=16.6

Therefore, the value of x is 16.6 cm.

User Ankit Zalani
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