Centers of Gravity of the Triangle and Lean-To Trapezoid Jan 2026

Item 1: The center of gravity for a general triangle, above a base, is 1/3 the height; but what is the horizontal center of gravity for that triangle? 🤔

I present the problem and my solution. Note that the formula is valid when A or B are negative.

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Item 2: What is the center of gravity for this lean-to trapezoid shape? 🤔

I present two proofs/derivations here.

The first is a customary approach. The second uses the result found in Item 1 above; this seems like a more elegant and meaningful approach, in that it explains the symmetric formula.

Again, the problem and my solution.

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