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aalyn [17]
3 years ago
8

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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