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The sum of the x-coordinates of the vertices of a triangle in the Cartesian plane equals 10. Find the sum of the x-coordinates of the midpoints of the sides of the triangle.

The sum of the x-coordinates of the vertices of a triangle in the Cartesian plane equals 10. Find the sum of the x-coordinates of the midpoints of the sides of the triangle.
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The sum of the x-coordinates of the vertices of a triangle in the Cartesian plane equals 10. Find the sum of the x-coordinates of the midpoints of the sides of the triangle.

User Alexander Radchenko
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1 Answer

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The sum of the x-coordinates of the vertices is 3 times the x-coordinate of the centroid. The centroid of the triangle of midlines is the same, so the sum of those x-coordinates will be the same.

The sum is 10.
User Fabiola
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