Question

prove that lengths of diagonals of a rectangle are equal​

Answer 1

Answer:

A rectangle is a parallelogram, so its opposite sides are equal. The diagonals of a rectangle are equal and bisect each other.

Explanation:

ABCD is a rectangle with AC and BD as its diagonals.

ABCD is a rectangle

A = 90o, AD = BC

ADBC and AB is a transversal

A + B = 180o

B = 90o

In ABD and BAC

AB = BA

A = B

AD = BC

ABD  BAC                   (SAS)

BD = AC                            (c.p.c.t)

Hence, the diagonals of a rectangle are equal.