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
ABCD is a rhombus.
AB = BC = DC

BO = OD; and AO = OC (rhombus is a parallelogram, diagonals bisect each other)
In
BOC and
DOC


BO = DO,
BC = DC and OC = OC









Or
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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