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In a parallelogram ABCD, AB = 8 cm. The altitudes corresponding to sides AB and AD are respectively 4 m and 5 cm. Find AD.

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In a parallelogram ABCD, AB = 8 cm. The altitudes corresponding to sides AB and AD are respectively 4 m and 5 cm. Find AD. 

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We know that, Area of a parallelogram = Base × Corresponding altitude 

∴ Area of parallelogram ABCD = AD × BN = AB × DM 

⇒ AD × 5 = 8 × 4 

⇒ AD = 8× 4/58  

= 6.4 cm

 

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