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If the diagonals of a llgm …

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If the diagonals of a llgm are equal,then show that it is a rectangle

Posted by Simarpreet Tuteja 8 years, 4 months ago

CBSE > Class 09 > Mathematics

1 answers

Arpita Joshi 8 years, 4 months ago

Given-ABCD is a llgm AC = BD To prove-ABCD is a rectangle IN triangle ABC AND BAD AB=BA(COMMON) CA=DB(GIVEN) BV=AD(OPPOSITE SIDES OF IIGM ARE EQUAL) By SSS TRIANGLE ABC AND BAD BY CECT, ANGLE ABC=BAD ALSO, ANGLE ABC +BAD =180(ADJACENT ANGLE OF IIGM) ANGLE ABC =BAD =180 A llgm ABC with angle A=90 is a rectangle

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