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  4. The points A(3,2,0), B(5,3,2) and C(0,2,4) are the vertices of a triangle. Find the distance of the point A from the point in which the bisector of ∠BAC meets [BC].

Q. The points , and are the vertices of a triangle. Find the distance of the point from the point in which the bisector of meets .

Introduction to Three Dimensional Geometry Report Error

Solution:

Let be the points at which bisector of meets , then divides internally in the ratio where and .

Now units
and units
divides in the ratio
Hence, ,
i.e., .
Now,

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