Home
Class 12
MATHS
A(1,3,0),B(2,2,1) and C(5,-1,4) are the ...

`A(1,3,0),B(2,2,1)` and `C(5,-1,4)` are the vertices of the triangle ABC, if the bisector of `/_BAC` meets its side `bar(BC)` at D, then find the coordinates of D.

Text Solution

Verified by Experts

The correct Answer is:
`(13/5,7/5,8/5)`

NA
Promotional Banner

Similar Questions

Explore conceptually related problems

If A (-1, 3), B (1, -1) and C (5, 1) are the vertices of a triangle ABC, find the length of the median through A.

If A(1, 4, 2), B(-2, 1, 2) and C(2, -3, 4) are the vertices of the triangle ABC, then find the angles of the triangle ABC.

A(2, 3, 1), B(-2, 2, 0) and C(0, 1, -1) are the vertices of the triangle ABC. Show that the triangle ABC is right -angled.

Three vertices of triangle ABC are A (3 , 2 , -1) B ( - 1 , -1 , -1) and C ( 1, 5, 5) , if the internal bisector of angleBAC meets the opposite side overline(BC) at D , then find the coordinates of D .

If A (-1, 4,2), B(3, -2, 0) and C(1,2,4) are the vertices of the triangle ABC, then the length of its median through the vertex A is-

The vertices of a triangle are A(-1,-7),B(5,1)a n dC(1,4)dot If the internal angle bisector of /_B meets the side A C in D , then find the length A Ddot

The co-ordinate of the vertices of a triangle are A(0, 2, -3), B(- 2, 0, -4) and C(3, 6, -3). Find the ratio in which the bisector of angleBAC divides BC and also find the co-ordinate of that point

The coordinates of the vertex A of the triangle ABC are (-3,-4,-2) , if the coordinates of its centroid are (1,-2,2) , then find the coordinates of the mid -point of the side bar(BC) .

If the midpoints of the sides of a triangle are (2,1),(-1,-3),a n d(4,5), then find the coordinates of its vertices.

In an isosceles right-angled triangle ABC, /_B=90^(@) . The bisector of /_BAC intersects the side BC at the point D. Prove that CD^(2) =2BD^(2)