In triangle def, cg = (x + 5) units and dg = (3x – 2).
what is dg?
units

34 units.

Step-by-step explanation:

We have been given an image of a triangle and we are asked to find the length of segment DG,

We can see that point g is the centroid of our given triangle as it is the point, where medians of our given triangle are intersecting.

Since we know that centroid of a triangle divides its medians in 2:1 ratio, so we can set an equation for DG and CG as:

Now let us solve for x.

Upon substituting x=12 in the expression for the length of segment DG we will get,

Therefore, the length of segment DG is 34 units.

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step-by-step explanation: