Question

prove that diagonals of a rectangle are equal in length

Answer 1

take to triangles that includes diogonol . adjacent angles are 90 degree.diogonol bisects angle .so another corresponding angles are equal.opposite sides are equal.so triangles are congruent.so according to result of congruency diogonol are equal

Answer 2

Answer :

Let ABCD be a rectangle.

We have to prove that AC = BD.

In the triangles ABC and DCB:

BC = CB (common)  

AB = DC   (opposite sides of a parallelogram are equal)  

ABC =DCA = 90°   (given)

so ABC =(congruent) DCB (SAS)

Hence AC=DB by CPCT

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