Geometry Puzzle – Challenge 76
An equilateral triangle has perimeter 2x and area x (numerically). Each side is (2x)/3. Use the equilateral area formula A = s^2 sqrt(3)/4, set equal to x, and solve for x. Substitute back to get side length = 2 sqrt(3) meters. Key takeaways: Perimeter of equilateral triangle = 3 times side, so side s = […]
Geometry Puzzle – Challenge 75
A cube has surface area 3a and volume 2a. Find the total edge length (a cube has 12 edges). Set 6x^2 = 3a and x^3 = 2a, solve to get x = 4, and total edge length = 12 times 4 = 48 feet. Key takeaways: Cube: 6 faces (each x^2), 12 edges (each x), […]
