Chords AB and CD intersect at point K, AK = 6cm BK = 8cm CK = 4cm, find the length DK.

univerkov | March 28, 2021 | education

By the property of intersecting chords, the product of the segments formed at the intersection of one chord is equal to the intersection of the segments of the other chord.

AK * BK = СK * DK.

DK = AK * BK / СK.

DK = 6 * 8/4 = 12 cm.

Answer: The length of the segment DK is 12 cm.

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