SOLUTION: Segment AB and segment BC are tangent to circle D. Find x if Segment AB = -x + 6 and segment BC = 3x + 1. Find x. circle D with points A and C on the circle, point b outsi

Algebra ->  Triangles -> SOLUTION: Segment AB and segment BC are tangent to circle D. Find x if Segment AB = -x + 6 and segment BC = 3x + 1. Find x. circle D with points A and C on the circle, point b outsi      Log On


   

Question 1083222: Segment AB and segment BC are tangent to circle D. Find x if Segment AB = -x + 6 and segment BC = 3x + 1. Find x.
circle D with points A and C on the circle, point b outside the circle, segments BA and BC are tangent
Answer by ikleyn(52801) About Me  (Show Source):
You can put this solution on YOUR website!
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1.  Make a sketch.


2.  Use the Theorem:

        Tangent segments to a circle released from a point outside the circle are congruent.


3.  So AB = BC which gives an equation -x + 6 = 3x + 1.

    4x = 5  ---->  x = 5%2F4 units.

See the lesson
    - Tangent segments to a circle from a point outside the circle
in this site.

Also,  you have this free of charge online textbook on Geometry
    GEOMETRY - YOUR ONLINE TEXTBOOK
in this site.

The referred lesson is the part if this textbook under the topic
"Properties of circles, inscribed angles, chords, secants and tangents".