In a parallelogram ABCD,it is being given that AB=10 cm and the altitudes corresponding to the sides AB and AD are DL=6 cm and BM=8 cm,respectively.Find AD.
ANSWER:
ar(parallelogram ABCD) = base ⨯ height
⇒ AB ⨯ DL = AD ⨯ BM
⇒ 10 ⨯ 6 = AD ⨯ BM
⇒ AD ⨯ 8 = 60 cm 2
⇒ AD = 7.5 cm
∴ AD = 7.5 cm