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ABCD is a parallelogram. AE is perpendicular on DC and CF is perpendicular on AD. If AB = 10 cm; AE = 8 cm and CF = 12 cm. Find AD.

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Area of parallelogram = base x height 

AB x AE = AD x CF

⇒ 10 x 8 = 12 x AD

⇒ AD = 10x8/12 = 6.666 ……….

∴ AD ≅ 6.7 cm

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