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3 years ago

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

Mathematics

1 answer:

Olegator [25]3 years ago

5 0

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

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