The vertices of a triangle ABC are A(3, 2, 0), B(5, 3, 2) and C(-9, 6, -3). The bisector AD of ∠ A meets BC at D, find the fourth vertex D.

Question

Philoid · Accepted Answer

The given co-ordinates: A(3, 2, 0), B(5, 3, 2) and C(-9, 6, -3)

Now, AB = 3

Also, AC

Now, we have,

By the property of internal angle bisector,

Therefore,

Applying the section formula, we get,

D(x, y, z)

Answer.