In Exercises 15-18, find the coordinates of the centroid of the triangle with the given vertices. (See Example 2.) 15. A(2,3), B
1 answer:
9514 1404 393
Answer:
(5, 3 2/3)
Step-by-step explanation:
The centroid coordinates are the average of the vertex coordinates.
(A+B+C)/3 = ((2, 3) +(8, 1) +(5, 7))/3 = (2+8+5, 3+1+7)/3 = (15, 11)/3
The centroid is (5, 3 2/3).
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The graph shows the intersection of the medians. It is the centroid, (5, 3 2/3), as we calculated.
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