Two chords AB and CD are drawn in the circle, intersecting at the point K, KS = 6cm, AK = 8cm, BK + DK = 16cm. Find BK and DK.
| November 17, 2020 | education
By the property of intersecting chords: AK * BK = CK * DK
Let BK = x then DK = 16-x
8 * x = 6 * (16-x)
8x = 96-6x
14x = 96
X = 48/7
VK = 6.8 DC = 16-48/7 = 64/7 = 9
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