If diagonals of parallelogram are equal,show …
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Posted by Shekhar Zurange 6 years, 8 months ago
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Hans Raj 6 years, 8 months ago
let us take parallelogram ABCD
AC and BD are two diagonal which are also equal AC = BD
ABCD is a parallelogram , therefore opposite sides are equal AB = CD , AD = BC , Sum of opposite angles = 180o , L B + L D = 180O , LA + LC = 180O
ABC = ADC are congruent (as AB = CD , AD = BC , AC = AC )
similarly BCD = BAD are congruent as BD=BD is common
L B = L D But LB + L D = 180 therefore LB = 90 , LD = 90 , LA = 90 and L C= 90
Hence ABCD is a rectangle
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