If the pair of opposite side of cyclic quadrilateral is equal. Prove that the diagonals are also equal.
Answers
Answered by
6
Let ABCD be a cyclic quadrilateral
and,
AB=CD
so, arc AB = arc CD ( corresponding arcs of the equal chords )----------(1)
Adding arc AD on both the sides of equation (1)
arc AB + arc AD = arc CD + arc arc AD
i.e, arc BAD = arc CDA
chord BD = chord CA
PROVED
hope it helps uh ❤
My drawing is bad but uh can understand that how it proved
and,
AB=CD
so, arc AB = arc CD ( corresponding arcs of the equal chords )----------(1)
Adding arc AD on both the sides of equation (1)
arc AB + arc AD = arc CD + arc arc AD
i.e, arc BAD = arc CDA
chord BD = chord CA
PROVED
hope it helps uh ❤
My drawing is bad but uh can understand that how it proved
Attachments:
Similar questions