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The coordinates of the centroid of a triangle with vertices at (0, 0), (6, 0), a
The coordinates of the centroid of a triangle with vertices at (0, 0), (6, 0), and (3, 6) are:
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Practice Questions
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Q1
The coordinates of the centroid of a triangle with vertices at (0, 0), (6, 0), and (3, 6) are:
(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
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Q
Q: The coordinates of the centroid of a triangle with vertices at (0, 0), (6, 0), and (3, 6) are:
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 triangle's vertices. They are (0, 0), (6, 0), and (3, 6).
Step 2: Label the coordinates: (x1, y1) = (0, 0), (x2, y2) = (6, 0), (x3, y3) = (3, 6).
Step 3: Use the formula for the centroid: 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: (3, 2).
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