what are the coordinates of the centroid of \\( \\triangle pqr \\)?\nsimplify any fractions.
what are the coordinates of the centroid of \\( \\triangle pqr \\)?\nsimplify any fractions.
Answer
Explanation:
Step1: Find the coordinates of points
From the graph, (P(-3,8)), (Q(4,-3)), (R(7,4))
Step2: Use the centroid formula
The centroid formula for a triangle with vertices ((x_1,y_1)), ((x_2,y_2)), ((x_3,y_3)) is (\left(\frac{x_1 + x_2+x_3}{3},\frac{y_1 + y_2 + y_3}{3}\right)) Here (x_1=-3), (x_2 = 4), (x_3=7) and (y_1=8), (y_2=-3), (y_3 = 4) For (x)-coordinate: (\frac{-3+4 + 7}{3}=\frac{8}{3}) For (y)-coordinate: (\frac{8+(-3)+4}{3}=\frac{9}{3}=3)
Answer:
(\left(\frac{8}{3},3\right))