हिंदी

AD is a median of ΔABC with vertices A (5, -6), B (6, 4) and C (0, 0). Length AD is equal to ______. - Mathematics

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प्रश्न

AD is a median of ΔABC with vertices A (5, -6), B (6, 4) and C (0, 0). Length AD is equal to ______.

विकल्प

  • `sqrt68` units

  • `2sqrt15` units

  • `sqrt101` units

  • 10 units

MCQ
रिक्त स्थान भरें

उत्तर

AD is a median of ΔABC with vertices A (5, -6), B (6, 4) and C (0, 0). Length AD is equal to `underline(sqrt68  "units")`.

Explanation:

Coordinates of D(x, y).


Using the mid-point formula, the coordinates of the midpoint of BC are 

Co-ordinates of D(x, y) = `((6 + 0)/2, (4 + 0)/2)`

= (3, 2)

Now, length of AD = `sqrt((5 - 3)^2 + (-6 - 2)^2)`

= `sqrt(4 + 64)`

= `sqrt68` units

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