Question

Prove that diagonals of rectangle are equal in length

Answer 1

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)  
ABC =DCA = 90°   (given)
so ABC ≡ DCB (SAS)
Hence AC = DB (matching sides of congruent triangles).

Answer 2

Answer:

and

Step-by-step explanation:

all sides are equal (cpct)