In a rhombus ABCD,diagonals intersect each other at point P then find mtraingle APB=?
Answers
Answered by
47
90
Step-by-step explanation:
ABCD is a rhombus.
AC and BD are diagonals of rhombus.
We know that, diagonals of a rhombus bisect each other perpendicularly .
∴ AC⊥BD
i.e.AO⊥BO
∴ ∠AOB=90
Answered by
10
Answer:
Step-by-step explanation:
Given: ABCD is a rhombus. diognal
meet ATO
Diagonals of a rhombus bisect each other
at right angles
Hence, in A OAB
OA2+OB2=AB2..(1)
In A 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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