1.

. Prove that the diagonals of a rectangle are of equal length.​

Answer»

Step-by-step explanation:

Theorem

The diagonals of a RECTANGLE are equal.

Proof

Let ABCD be a rectangle.

We prove that AC = BD.

In the triangles ABC and DCB:

BC = CB (COMMON)

AB = DC (opposite sides of a parallelogram)

angle ABC =angle DCA = 90° (given)

so triangle ABC ≡ triangle DCB (SAS)

Hence AC = DB (c.s.c.t).


Discussion

No Comment Found

Related InterviewSolutions