Two sides of a parallelogram are 20 cm and 25 cm . If the altitude corresponding to the sides of length 25 cm is 10 cm , find the altitude corresponding to the pair of sides .

Dear Student,

Please find below the solution to the asked query:

We form our diagram from given information , As :

Here , Altitude corresponding 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 $\times$ Height ( Or Altitude )

Then,

Area of given parallelogram ( We consider base = AB = 25 and Altitude = DM = 10 cm ) =  25 $\times$ 10 =  250  cm²

And

Area of given parallelogram ( We consider base = BC = 20 and Altitude = AN = x cm ) =  20 $\times$ x =  20x  cm²

So,

20 x  =  250 ,

x  =  12.5 

Therefore,

The altitude corresponding to the pair of sides = 12.cm                                         ( Ans )

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