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The coordinates of the centroid of the triangle with vertices (2, 3), (4, 5), an
The coordinates of the centroid of the triangle with vertices (2, 3), (4, 5), and (6, 7) are:
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Practice Questions
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Q1
The coordinates of the centroid of the triangle with vertices (2, 3), (4, 5), and (6, 7) are:
(4, 5)
(3, 4)
(5, 6)
(6, 5)
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Centroid = ((2+4+6)/3, (3+5+7)/3) = (4, 5).
Questions & Step-by-step Solutions
1 item
Q
Q: The coordinates of the centroid of the triangle with vertices (2, 3), (4, 5), and (6, 7) are:
Solution:
Centroid = ((2+4+6)/3, (3+5+7)/3) = (4, 5).
Steps: 8
Show Steps
Step 1: Identify the coordinates of the vertices of the triangle. They are (2, 3), (4, 5), and (6, 7).
Step 2: To find the x-coordinate of the centroid, add the x-coordinates of the vertices: 2 + 4 + 6.
Step 3: Calculate the sum of the x-coordinates: 2 + 4 + 6 = 12.
Step 4: Divide the sum of the x-coordinates by 3 (the number of vertices): 12 / 3 = 4.
Step 5: To find the y-coordinate of the centroid, add the y-coordinates of the vertices: 3 + 5 + 7.
Step 6: Calculate the sum of the y-coordinates: 3 + 5 + 7 = 15.
Step 7: Divide the sum of the y-coordinates by 3: 15 / 3 = 5.
Step 8: Combine the x and y coordinates to get the centroid: (4, 5).
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