Question

Let A(2,2,-3),B(5,6,9),C(2,7,9) be the vertex of the triangle the internal bisector of the angle a met BC at the point D . Find the coordinate

Answer 1

Step-by-step explanation:

this is a answerCorrect option is B)

We have,

Point

A(x

1

1. ,y

1

,z

1

)=(2,2,−3)

B(x

2

,y

2

,z

2

)=(5,6,9)

C(x

3

,y

3

,z

3

)=(2,7,9)

Let the coordinates of point D(x,y,z).

So,

According to question,

AB=

(5−2)

2

+(6−2)

2

+(9−3)

2

AB=

9+16+149

=

13

2

=13

AC=

(2−2)

2

+(7−2)

2

+(9+3)

2

AC=

0+25+144

=

169

=13

Thus ABC is isosceles triangle with AB=AC

So, angle bisector AD bisects BC

D≡(

2

5+2

,

2

6+7

,

2

9+9

)≡(

2

7

,

2

13

,9)

1. Hence, this is the ansewr.