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$If ABCD is a rectangle,' O' is the intersection point of diagonals and OA = 9 cm, then BD =$

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27 cm

18 cm

36 cm

9 cm

answer is B.

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Detailed Solution

$O A = 9 cm$

Question Image

In rectangle diagonals are equal.

i.e.,

$A C = B D$

diagonals bisect each other

$A O = O C, O B = O D$

(midpoint of diagonals are equal)

Given

$O A = 9$

$2 × O A = B D$

$2 × 9 = B D$

$B D = 18 cm$

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