in the given figures ,a,b,c,d is parallelogram ,dl perpendicular ab and dm perpendicular bc if ab =18cm bc =12 cm and dm =9.3 cm find dl
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Given DL ⊥ AB and DM ⊥ BC
Taking BC as the base, BC = 12 cm and altitude DM = 9.3 cm
We know that
area of parallelogram ABCD = Base x Altitude
= (12 cm x 9.3 cm)
= 111.6 c m2 ….. Equation (i)
Now, by taking AB as the base,
We have,
Area of the parallelogram ABCD = Base x Altitude
= (18 cm x DL) ….. Equation (ii)
From (i) and (ii), we have
18 cm x DL = 111.6 cm2
DL = 111.6/18
= 6.2 cm
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