Math, asked by chauhanramjeet453, 8 days ago

if the dialogues of a quadrilateral intersect each other at right angles then prove that the sum of square of opposite sides are equal

class 10th
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Answers

Answered by itzPapaKaHelicopter
2

It is given that the diagonals of ABCD are equal and bisect each other at right angles.

Therefore,

AC = BD, OA = OC, OB = OD,

and ∠AOB = ∠BOC = ∠COD

= ∠AOD = 90º. Now, to prove ABCD is a square, we have to prove that ABCD is a parallelogram, AB = BC = CD = AD,

and one of its interior angles is 90º.

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Answered by sHADoWoFHeART01
30

Step-by-step explanation:

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