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Knowledge Expert
· commented
· 1 Months ago
If ABCD is rhombus
Diagonals = AC and BD. and intersection of diagonals is O.
We get, Triangle ABO and ADO
In both triangle -
angle AOB and AOD = 90 because diagonals of rhombus are perpendicular to each other.
AO =AO common sides.
AB= AD sides of rhombus are equal.
By side angle side triangle AOB congruence of triangle ADO.
angle BAO = angle DAO. By correspondent angle of congruent
AC bisector of angle BAD.
thus required locus of AC which lies on the bisector of BAD which equidistant from AB and AD.
Keep learning keep solving
Best wishes
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