Consider triangle DEF with its centroid at point G and median EH. Given EG=3x+4 and GH=x+10, determine the following values. What is the value of x? What is EG? What is GH? What is EH? Please help quick with all questions

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.

⇒

⇒

⇒

⇒

Now, substituting the value of x in GH, we get

GH=

GH=

GH=

Hence, the value of GH will be: 13