10 Diagonals of a rectangle XYZW intersect each other at point P. If l (ZP) =8.5 cm, then find l (YW).
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R.E.F.Image.
In a parallelogram, diagonal bisect each other
∴OY=OW=5cm
∠XYZ+∠YZW=180∘ [∴ interior angles]
135∘+∠YZW=180∘
∠YZW=45∘
In a parallelogram, opposite angles are equal
∠XYZ=∠XWZ=135∘
and OY = 5 cm then WY = OY + OW
5+5=10cm [opposite diagonal]
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