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Intersecting ChordsProducts of segments of intersecting chords are equalThis PageIntersecting Chords Theorem | Practice Problems This page: Angle formed by intersecting chords | Tangent and Chord||Related Pages: Circles forumula, graph, equations | Equation of A Circle | Circumference | Area | Chord |Arc | Inscribed Angles|Secant of circle | 2 Tangents from 1 point | Tangents, Secants, Circles Theorems | images Intersecting Chords Theorem
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.
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 A • B = C • D A • B = 3 • 8 6 • B = 24 B = 24 ÷ 6 B = 4 Top |
