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.
Skip to PDF contentItem 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.

