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.
Given
AB = 10 cm
DL = 6 cm
BM = 8 cm
AD = ? (To find)
Here, Area of parallelogram = base x height
In the given figure if we consider AB as base Area = AB x DL
If we consider DM as base Area = AD x BM
Area = AB x DL = AD x BM
⇒ 10 x 6 = AD x 8
⇒ 60 = 8 x AD