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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 ______.
पर्याय
`sqrt68` units
`2sqrt15` units
`sqrt101` units
10 units
MCQ
रिकाम्या जागा भरा
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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