if the diagonal of a parallelogram are equal,then show that it is a rectangle.
Asked by shubhras445 | 27th May, 2020, 01:22: PM
Let ABCD be the parallelogram
Consider triangles ABC, BAD
AB=BA ... Common side
BC=AD ... Opp sides of llgm are equal
AC = BD ... Given
So triangles become cong by SSS rule.
Angle BAD = angle ABC ... CPCT
But sum of these angles is 180 as they are adjacent angles of llgm
So we can conclude that if each is equal to x
Thus ABCD is a parallelogram with one angle = 90 degrees
So, by the definition of parallelogram this is a rectangle.
Answered by Renu Varma | 28th May, 2020, 11:25: AM
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