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In parallelogram ABCD, AB = 12 cm. The altitudes corresponding to the two sides AB and AD are 8 cm

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In parallelogram ABCD, AB = 12 cm. The altitudes corresponding to the two sides AB and AD are 8 cm and 10 cm respectively. Compute BC.

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Area of parallelogram ABCD = base x

corresponding altitude = AB x CM 

= 12 cm x 8 cm = 96 cm2

Again area of parallelogram ABCD 

= BC x CN

⇒ 96 = BC x 10

⇒ BC = 9.6 cm.

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