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Find the coordinates of the centroid of the triangle with vertices at (0, 0), (6
Find the coordinates of the centroid of the triangle with vertices at (0, 0), (6, 0), and (3, 6).
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Practice Questions
1 question
Q1
Find the coordinates of the centroid of the triangle with vertices at (0, 0), (6, 0), and (3, 6).
(3, 2)
(3, 3)
(2, 3)
(0, 0)
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Centroid = ((x1+x2+x3)/3, (y1+y2+y3)/3) = (9/3, 6/3) = (3, 2).
Questions & Step-by-step Solutions
1 item
Q
Q: Find the coordinates of the centroid of the triangle with vertices at (0, 0), (6, 0), and (3, 6).
Solution:
Centroid = ((x1+x2+x3)/3, (y1+y2+y3)/3) = (9/3, 6/3) = (3, 2).
Steps: 6
Show Steps
Step 1: Identify the coordinates of the vertices of the triangle. The vertices are (0, 0), (6, 0), and (3, 6).
Step 2: Label the coordinates. Let (x1, y1) = (0, 0), (x2, y2) = (6, 0), and (x3, y3) = (3, 6).
Step 3: Use the formula for the centroid of a triangle: Centroid = ((x1 + x2 + x3) / 3, (y1 + y2 + y3) / 3).
Step 4: Calculate the x-coordinate of the centroid: (0 + 6 + 3) / 3 = 9 / 3 = 3.
Step 5: Calculate the y-coordinate of the centroid: (0 + 0 + 6) / 3 = 6 / 3 = 2.
Step 6: Combine the x and y coordinates to find the centroid: The centroid is (3, 2).
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