Respuesta :

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

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