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    Intersecting Chords

    Products of segments of intersecting chords are equal

     Intersecting Chords Theorem  

    Picture of product of intersecting chords rule

    If two chords intersect inside a circle then the product of the lengths of the segments of one chord equals the product of the lengths of the segments of the other chord.
      A • B = C • D

    Practice Problems
    In the circle below, the chord segments have the following lengths: A= 6, C=3, D=4. Use the theorem for the product of chord segments to find the value of D.
     Answer 

    In the circle below, the chord segments have the following lengths: D = 8, C = 3, A = 6. Use the theorem for the product of chord segments to find the value of B.
     Answer