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Q.

The base and corresponding altitude of a parallelogram are 10 cm and 12 cm respectively. If the other altitude is 8 cm, find the length of the other pair of parallel sides.


 The base and the corresponding altitude of a parallelogram are 10 cm and 12 cm, respectively If the other - Maths - - 9502233 | Meritnation.com

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a

12 cm

b

15 cm

c

17 cm

d

21 cm 

answer is B.

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Detailed Solution

Given the base and corresponding altitude of a parallelogram are 10 cm and 12 cm respectively and the other altitude is 8 cm.
The base and the corresponding altitude of a parallelogram are 10 cm and 12 cm, respectively If the other - Maths - - 9502233 | Meritnation.comAssume, length of the other pair of the parallel side = x.
Area of parallelogram is base×height  .
Area of parallelogram with height CN = area of parallelogram with height AM
⇒AD×CN=DC×AM ⇒x×8=10×12  
⇒x= 10×12 8  
⇒x=5×3  
⇒x=15  
Therefore, the length of the other pair of the parallel side is 15 cm.
Hence, option 2 is correct.
 
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