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The Blank 1 Question 1 is the center of gravity of a triangle. The point where the triangular region will balance.

Question

The Blank 1 Question 1 is the center of gravity of a triangle. The point where the triangular region will balance.

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Solution

The center of gravity of a triangle is also known as the centroid. Here are the steps to find it:

  1. Draw all three medians of the triangle. A median of a triangle is a line segment joining a vertex to the midpoint of the opposing side.

  2. The point where all three medians intersect is the centroid of the triangle, which is also its center of gravity.

  3. This point will divide each median into two segments, with the segment connecting the centroid to the vertex being twice as long as the segment connecting the centroid to the midpoint of the side.

  4. Therefore, the triangle will balance at this point, as it is the center of gravity.

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