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The coordinates of the centroid of a triangle with vertices at (1, 2), (3, 4), a
The coordinates of the centroid of a triangle with vertices at (1, 2), (3, 4), and (5, 6) are:
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Practice Questions
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Q1
The coordinates of the centroid of a triangle with vertices at (1, 2), (3, 4), and (5, 6) are:
(3, 4)
(2, 3)
(4, 5)
(3, 5)
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Centroid = ((1+3+5)/3, (2+4+6)/3) = (3, 4).
Questions & Step-by-step Solutions
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Q
Q: The coordinates of the centroid of a triangle with vertices at (1, 2), (3, 4), and (5, 6) are:
Solution:
Centroid = ((1+3+5)/3, (2+4+6)/3) = (3, 4).
Steps: 8
Show Steps
Step 1: Identify the coordinates of the triangle's vertices. They are (1, 2), (3, 4), and (5, 6).
Step 2: To find the x-coordinate of the centroid, add the x-coordinates of the vertices: 1 + 3 + 5.
Step 3: Calculate the sum of the x-coordinates: 1 + 3 + 5 = 9.
Step 4: Divide the sum of the x-coordinates by 3 (the number of vertices): 9 / 3 = 3.
Step 5: To find the y-coordinate of the centroid, add the y-coordinates of the vertices: 2 + 4 + 6.
Step 6: Calculate the sum of the y-coordinates: 2 + 4 + 6 = 12.
Step 7: Divide the sum of the y-coordinates by 3: 12 / 3 = 4.
Step 8: Combine the x and y coordinates to get the centroid: (3, 4).
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