Question

prove that diagonal of a rectangle equal in length​

Answer 1

Answer:

Step-by-step explanation:

In a rectangle​

Take two triangles ABC and DBC

Ab =CD

Bc=bc common

And angle ABC= angle DCB

By SAS congruency

Triangles ABC and DCB are congruent

Therefore AC=DB by cpct

Answer 2

Let ABCD be a rect.
We've to prove that,
AC = BD
In ABC and DCB
BC = BC ( common )
AB = DC ( opp. sides of parallelogram )
angle ABC = angle DCA ( 90° )
so, by SAS ( side angle side ) rule
ABC is congruent toDCB
Hence,
AC = DB

PROVED
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