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If AD is a median of $Δ A B C$ , then the coordinates of D are ____.

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Detailed Solution

If AD is a median of

Δ A B C

, then the coordinates of D are (10, 2).
We have been given,
AD is the median of triangle ABC.
Question Image

Using midpoint formula,

(\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})

Finding the coordinates of D.
Substituting

x_{1} = 4, x_{2} = 6, y_{2} = 7, and y_{1} = - 5

, in the formula,

\Rightarrow (\frac{4 + 6}{2}, \frac{7 + (- 5)}{2})

\Rightarrow (10, 2)

Therefore, the coordinates of D is (10,2).

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