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If a circle touches all four sides of quadrilateral PQRS then PQ = 11 cm, QR = 12 cm and PS = 8 cm then find length of RS?

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18 cm

28 cm

9 cm

6 cm

answer is A.

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Detailed Solution

We have a quadrilateral PQRS

$\Rightarrow$ PQ + RS = SP + RQ

= 11 + RS = 8 + 12

$\Rightarrow$ RS = 20 – 11

$\Rightarrow$ RS = 9

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