there a equalitral hexagon, side 36, and a triangleinside, a...

Prompt

there a equalitral hexagon, side 36, and a triangleinside, also sides 36 equilateral, and each triangle vertice is connected to two closest hexagon vertice, so each heagon veritce has onel line going to traingle, the traingle can rotate, and so can the lines, if the shotest possible distance from hexagon vertice to trangle vertice is d, find d^2 plus 36d