answer the following
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Answer:
Here are 2 circles of equal radii.
ABOO' and CDO'O are a rectangles The radius of each circles are equal
oo' is common and all angles are
90 degree each
Hence the 2 rectangles Can be called Congruent rectangles
so AB =CD
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To Prove: AB = CD
Proof:
∠A = ∠B (RADIUS ⊥ TANGENT)
∴ OA║OB
OA = OB (RADII OF SAME CIRCLE)
QUADRILATERAL AOOB IS A PARALLELOGRAM
SIMILARLY QUADRILATERAL COOD IS A PARALLELOGRAM
AB = OO ...(i) (OPPOSITE SIDES OF PARALLELOGRAM)
CD = OO ...(ii) (DO)
FROM (i) AND (ii)
AB = CD
HENCE PROVED
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