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ICSE Class 9 Answered

A diagonal divides a arallelogram into two triangles of equal area
Asked by Ashok | 17 Jan, 2018, 07:46: PM
answered-by-expert Expert Answer
begin mathsize 16px style Given colon space space ABCD space is space straight a space parallelogram
To space prove colon space increment DAB space approximately equal to space increment DCB space space
Construction colon space Join space straight D space and space straight B.
Proof colon space In space increment DAB space and space increment DCB
DA equals CB space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space Opposite space sides space of space straight a space parallel to to the power of gm
DC equals AB space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space Opposite space sides space of space straight a space parallel to to the power of gm
DB equals DB space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space Common space side
increment DAB space approximately equal to space increment DCB space space space space space space space space space space space space space space space space space space space space space SSS space congruene
area increment DAB space equals space space area space increment DCB space space space area space of space congruent space figures space habve space equal space area end style
Answered by Sneha shidid | 18 Jan, 2018, 10:24: AM
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