The image contains a geometry problem involving centroids of triangles. From the problem description:

• Point G is the centroid of triangle $\triangle ABC$.
• The image shows two different segments with algebraic expressions.

To solve these, we need to use the property of centroids. The centroid divides each median of a triangle into a 2:1 ratio, with the longer segment being closer to the vertex.

In the given setup, we can solve for the variable by equating the expressions for the two segments connected to the centroid and applying the centroid's properties.

Would you like me to go step by step and solve for the variable(s) involved in these equations? Let me know how you'd like to proceed!

Here are some related questions:

1. What is the property of a centroid in terms of the triangle's medians?
2. How do you solve for variables in triangle geometry involving centroids?
3. What would happen if point G were the orthocenter instead of the centroid?
4. How do you find the length of a median in a triangle?
5. Can the centroid be outside the triangle in any special cases?

Tip: In centroid problems, remember to use the 2:1 ratio rule when applying the properties of medians!