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Sagot :
g is the centroid of triangle abc, the value of x is 2/3.
The length of segment DG is (2/3) * (length of AB) ,The length of segment AG is (1/3) * (length of AB),The length of segment AD is (1/3) * (length of AB).
The centroid of a triangle is the point at which the three medians of the triangle intersect each other. In other words, it is the point of intersection of the three lines which each divide the opposite side of the triangle into two equal parts.
Let us consider a triangle ABC with vertices A (a1, b1), B (a2, b2), and C (a3, b3). The x coordinate of the centroid G (x, y) is given by:
x = (a1 + a2 + a3) / 3
The y coordinate of the centroid G (x, y) is given similarly as x
In your question, the x coordinate of the centroid G is given as x = 2/3. This means that the x coordinate of G is 2/3 of the way between A and B.
Therefore, the length of segment DG is (2/3) * (length of AB).
Learn more about centroid here
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