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2014-11-05T18:14:32+05:30

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See the diagram.
we need to find 2y.

In the right angled triangle AMC
6² = x² + y²
⇒ y² = 36-x²

In the right angled triangle OMC
5² = y² + (5-x)²
⇒ 25 = (36-x²) + 25 + x² - 10x
⇒ 25 = 36 - x² + 25 + x² - 10x
⇒ 0 = 36 - 10x
⇒ x = 36/10 = 3.6

y = √(36-3.6²) = √23.04 = 4.8 cm
BC = 2y = 4.8×2 = 9.6 cm
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