question archive AD and MN are chords that intersect at point B

AD and MN are chords that intersect at point B

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AD and MN are chords that intersect at point B. What is the length of line segment MN? 4 units 6 units 18 units 24 units

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Answer:

When 2 chords intersect in a circle, the product of their segments are equal.
9 * (x +1) = 15 * (x -1)
9x +9 = 15x -15
24 = 6x
x = 4
SO,
Line AD = 9 + x + 1
Line AD = 14
Line MN = 15 + x -1
Line MN = 18

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