Two diagonals of a rhombus ABCD are intersecting each other at point O. What is the value of ∠DOC? *
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Answered by
2
Answer:
the value of ∠DOC is 90° as the diagonal bisectors each other perpendicularly
Answered by
0
Answer:
Given: ABCD is a rhombus. diognal
meet ATO
Diagonals of a rhombus bisect each other
at right angles
Hence, in ∆ OAB
OA2+OB2 = AB2..(1)
In ∆ OBC
OB2+OC2=BC2..(2)
Adding I and II,
OA2+OC2= AB2+BC2-20BZ
OA2+OC2=2AD2-2 (4BD2) (since, ABCD
is a rhombus, sides are equal and
diagonal bisect each other)
OA2+OC2=2AD2-2BD2
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