Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Find the coordinates of the centroid of the triangle with the given vertices.
S(5, 5), T(11, -3), U(-1, 1)

Sagot :

  • Step-by-step explanation:

View image abhinava2004
akposevictor

The coordinates of the centroid of the triangle STU is: (3, 1).

Recall:

  • The centroid of a triangle is the point of concurrency of all the medians of a triangle.
  • The centroid of triangle ABC that is shown in the image attached below is point G.
  • The formula for finding the coordinate of the centroid of a triangle is: [tex]\mathbf{(x, y) = (\frac{x_1 + x_2 + x_3}{3}, \frac{y_1 + y_2 + y_3}{3})}[/tex]

Thus, given the vertices of a triangle as: S(5, 5), T(11, -3), U(-1, 1)

  • Let,

[tex]S(5, 5) = (x_1, y_1)\\\\T(11, -3) = (x_2, y_2)\\\\U(-1, 1) = (x_3, y_3)[/tex]

  • Plug in the values

[tex](x, y) = (\frac{5 + 11 +(-1)}{3}, \frac{5 + (-3) + 1}{3})\\\\(x, y) = (\frac{15}{3}, \frac{3}{3})\\\\\mathbf{(x, y) = (3, 1)}[/tex]

Therefore, the coordinates of the centroid of the triangle STU is: (3, 1).

Learn more about centroid of a triangle on:

https://brainly.com/question/14317682

We hope this was helpful. Please come back whenever you need more information or answers to your queries. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.