Chords AB and CD meet at point O. Find the length of chord CD if you know that: AO = 30 cm, OB = 12, CO = 18 cm

univerkov | February 26, 2021 | education

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

AO * ВO = CO * DO.

30 * 12 = 18 * DO.

360 = 18 * DO.

DO = 360/18 = 20 cm.

Then the chord length СD = CO + DO = 18 + 20 = 38 cm.

Answer: The length of the СD chord is 38 cm.

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