Answer:
GH=13
Step-by-step explanation:
It is given that ΔDEF with centroid at point G and median EH. Since, a median of a triangle is the line segment joining the vertex and the mid point and also bisecting it.
Therefore, EG=GH as the centroid bisect the median.
⇒[tex]3x+4=x+10[/tex]
⇒[tex]3x-x=10-4[/tex]
⇒[tex]2x=6[/tex]
⇒[tex]x=3[/tex]
Now, substituting the value of x in GH, we get
GH=[tex]x+10[/tex]
GH=[tex]3+10[/tex]
GH=[tex]13[/tex]
Hence, the value of GH will be: 13