Question

show that if the diagonals of a quadrilateral intersect each other at right angle, then the sum of squares of opposite sides are equal ​

Answer 1

Answer:

let ABCD be a quadrilateral in which AC and BD are its diagonals

to prove:AC =BD and AO is perpendicular to BD I.e 90°

In triangle AOB and COD

AO=OC (O is the mid point)

OB=OD (. ". )

AD = BC ( opp. sides of llgm)

by SSS AOB and COD are congruent

therefore by CPCT AD = BD.

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thanku