Where angular bisectors meet; the center of an inscribed circle.
The Missing Piece Puzzle: Why This 'Triangle' Doesn't Add Up polymathematic YouTube• Jan 14, 2025 DIY Wood Triangle Shelf | HGTV
Watch this brief explanation of why some rearranged triangular puzzles seem to have a missing piece due to slight slope differences:
Where perpendicular bisectors meet; the center of the circumscribed circle.
Where medians meet; the geometric center of the triangle.
If you are building a physical piece, such as a triangle shelf or frame, use these common methods:
Simple glue and nails (or a brad nailer) are often sufficient for decorative pieces. For structural stability, consider using splines or dados to increase the surface area for the wood glue.