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Derive the area of parallelogram fromed by the pair of homogenous and nonhomogenous straight line

Derive the area of parallelogram fromed by the pair of homogenous and nonhomogenous straight line

Grade:12

1 Answers

Vikas TU
14149 Points
6 years ago
Dear Student,
Lets Consider parallelogram ABCD where height =h
after joining BD diagonal, we find triangle ADB and CDB to be congruent (SSS)
so area of CDB and ADB are same
area of parallelogram ABCD =area of CDB+area of ABD
so ar of parallelogram =2*ar triangle CDB
ar triangle CDB= 1/2*base*ht=1/2*CD*h
therefore ar of parallelogram =2* 1/2* CD* h =CD*h
or area of parallelogram =base * ht     [ans]
          
Cheers!!
Regards,
Vikas (B. Tech. 4th year
Thapar University)

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