Q is the centroid of ABC. The medians AD and BE intersect at right angles. If the lengths of AD and BE are 9cm and 12cm respectively, then the length of AB is


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Using centroid property,

AE = 2/3 * 9 = 6
BE = 2/3 * 12 = 8
As ABE is a right angle triangle,
AB^2 = 6^2 + 8^2
AB = 10

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