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      Question

      In a rectangle PQRS, there is a point A located within

      the interior of the rectangle. The distances from point A to three vertices of the rectangle are as follows: AP = 8тАЙcm, AR = 6тАЙcm, and AQ = 5тАЙcm. Determine the length of AS.
      A 5тИЪ5 cm Correct Answer Incorrect Answer
      B 3тИЪ5 cm Correct Answer Incorrect Answer
      C 5тИЪ3 cm Correct Answer Incorrect Answer
      D 5тИЪ7 cm Correct Answer Incorrect Answer

      Solution

      We know that in rectangle, AP2┬а+ AR2┬а= AS2┬а+ AQ2 So, 82┬а+ 62┬а= AS2┬а+ 52 Or, 64 + 36 = AS2┬а+ 25 Or, 100 = AS2┬а+ 25 Or, AS2┬а= 75 Or, AS = ┬▒5тИЪ3 cm

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