Question

If A(4, 2), B(6, 5) and C(1, 4) be the vertices of \(\triangle \mathrm{ABC}\) and AD is a median, then the coordinates of D are ______.

पर्याय

• \(\left(\frac{5}{2}, 3\right)\)

• \(\left(5, \frac{7}{2}\right)\)

• \(\left(\frac{7}{2}, \frac{9}{2}\right)\)

• none of these

Answer 1

If A(4, 2), B(6, 5) and C(1, 4) be the vertices of \(\triangle \mathrm{ABC}\) and AD is a median, then the coordinates of D are `underlinebb((7/2, 9/2)`.

Explanation:

Since AD is a median, D is the mid-point of BC:

$$D = \left(\frac{6+1}{2}, \frac{5+4}{2}\right)$$

$$= \left(\frac{7}{2}, \frac{9}{2}\right)$$