prove that any rectangle is a cyclic quadrilateral
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Step-by-step explanation:
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Prove that any rectangle is cyclic quadrilateral
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kanika011
kanika011 Virtuoso
All angles of a rect are of 90 degree
,La + Lb + Lc + Ld = 90 + 90 + 90 + 90
so La + Lc = 180 degree
in cyclic quad ...sum of opp angles of a triangle is 180 degree
hence proved
hope this helped
Answered by
1
Step-by-step explanation:
We know that ..
Each angle of a rectangle is a right angle.
Therefore ,
Sum of oppsite angles of a rectangle is supplementary i.e., 180°
For a cyclic quadrilateral, sum of opposite angles is 180°.
=> 90° + 90° = 180° ( sum of opposite angles of a rectangle ).
Hence, rectangle is a cyclic quadrilateral.
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