Question

Find the length of the diagonal are equal . Prove that it is a rectangle.

Answer 1

Step-by-step 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.

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