CBSE Class 9 Answered
Prove that the diagonals of a rectangle are of equal length.
Asked by Topperlearning User | 17 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 = BCAD
BC and AB is a transversal
BC and AB is a transversal A + B = 180o
B = 90oIn 
ABD and BAC
ABD and BACAB = BA
A = BAD = BC
ABD 
BAC (SAS)BD = AC (c.p.c.t)Hence, the diagonals of a rectangle are equal.
Answered by | 17 Aug, 2017, 09:25: AM
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