Math, asked by rehansayyad7, 10 months ago

prove that any rectangle is a cyclic quadrilateral​

Answers

Answered by somanshkapoor
2

Step-by-step explanation:

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Secondary School Math 5 points

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 GODARYANKAR
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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