In a rhombus ABCD,diagonals intersect each other at point P then find mtraingle APB=?
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Answer:
in a Rhombus the diagonals intersect each other at 90°
So m<APB = 90°
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Answer:
In a rhombus ABCD, diagonals intersect each other at point P, then the ∠APB is equal to 90°.
Rhombus:
- Rhombus can be defined as a quadrilateral with all four sides having the same length.
- The opposite sides are parallel.
- The square is a special case of rhombus where all the four angles are 90°.
Step-by-step explanation:
It is given that ABCD is a rhombus whose diagonals intersect each other at a point P.
Hence, diagonals AC and BD intersect at point P.
We know that the diagonals of a rhombus intersect each other perpendicularly. That is, AC⊥BD
i.e., AP⊥BP
Therefore, ∠APB = 90°
Therefore, in a rhombus ABCD, the angle ∠APB is 90°.
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