CBSE Class 9 Answered
Prove that the diagonals of a rhombus are perpendicular to each other.
Asked by Topperlearning User | 17 Aug, 2017, 07:45: AM
Expert Answer
ABCD is a rhombus. 
AB = BC = DC
AB = BC = DCBO = OD; and AO = OC (rhombus is a parallelogram, diagonals bisect each other)
In 
BOC and DOC
BOC and DOCBO = DO,
BC = DC and OC = OC
BOC
DOC (SSS)
BOC = DOC (c.p.c.t)BOC + DOC = 180o (linear pair)Or BOC = DOC = 90o
BOC = DOC = 90o Hence, diagonals of a rhombus are perpendicular to each other.
Answered by | 17 Aug, 2017, 09:45: AM
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