Question

Consider ΔDEF with centroid at point G and median EH. What is GH, if EG=3x+4 and GH=x+10?

Answer 1

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.

⇒$3x+4=x+10$

⇒$3x-x=10-4$

⇒$2x=6$

⇒$x=3$

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

GH=$x+10$

GH=$3+10$

GH=$13$

Hence, the value of GH will be: 13