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

Asked by Topperlearning User | 17th Aug, 2017, 07:25: AM

Expert Answer:

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.

Answered by  | 17th Aug, 2017, 09:25: AM