Question

if two vertices of a triangle are (2,-6,4) and (4,-2,3) and its centroid is (8/3,-1,3) find its third side​

Answer 1

Answer:

x=

3

x

1

+x

2

+x

3

;y=

3

y

1

+y

2

+y

3

0=

3

4+2+x

3

;1=

3

−2−6+y

3

x

3

=−6;y

3

=11

(−6,11)

Answer 2

Answer:

x3=2 and y3=7

Step-by-step explanation:

coordinates of centroid (x,y)

x = (x1+x2+x3)/3

y = (y1+y2+y3)/3

x = (2+4+x3)/3 =8/3

=> (6 + x3) = 8

=> x3 = 8-6

=> x3 = 2

y = (y1+y2+y3)/3

=> {(-6)+(-2)+y3}/3 = (-1)/3

=> {(-8)+y3}/3 = (-1)/3

=> (-8) + y3 = -1

=> y3 = 7