two sides of parallelogram are 20 cm and 25 CM if the altitude corresponding to the sides of length 25 cm is 10 centimetre find the altitude corresponding to the other pairs of side
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Ansr:We form our diagram from given information :
Here , Altitudcorresponding to side ( AB = 25 cm ) = DM = 10 cm and
Altitude corresponding to side ( BC = 20 cm ) = AN = x cm ,
We know area of parallelogram = Base × Height ( Or Altitude )
Then,
Area of given parallelogram ( We consider base = AB = 25 and Altitude = DM = 10 cm ) = 25 × 10 = 250 cm2
And
Area of given parallelogram ( We consider base = BC = 20 and Altitude = AN = x cm ) = 20 × x = 20x cm2
So,
20 x = 250 ,
x = 12.5
Therefore,The altitude corresponding to the pair of sides = 12.cm ( Ans )
Hope it helped you.
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