Question 1115633: What is the value of x.
Diagram: https://i.imgur.com/jPx2Ym1.png
Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website! .
x^2 = 20*(20+25) = 20*45 = 900 ====> x = 30 ANSWER.
If a tangent and a secant lines are released from a point outside a circle, then the product of the measures of the secant
and its external part is equal to the square of the tangent segment.
See the lesson
- Metric relations for a tangent and a secant lines released from a point outside a circle, Theorem 1
in this site.
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Also, you have this free of charge online textbook on Geometry
GEOMETRY - YOUR ONLINE TEXTBOOK
in this site.
The referred lesson is the part of this online textbook under the topic "Properties of circles, inscribed angles, chords, secants and tangents ".
Save the link to this online textbook together with its description
Free of charge online textbook in GEOMETRY
https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson
to your archive and use it when it is needed.
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