Question

An equilateral triangle, ABC, has two of its vertices, A and B, below the x-axis; has the third vertex C above the x-axis, and contains the points (0,0) on segment AC, and (0,1) on segment BC. How long is the path traced out by all possible points C to two decimal places?

Answer 1

Do we assume that there is a single triangle, of fixed size, which we are manipulating? That is, its sides are of fixed length?

Answer 2

Assume the triangle is of fixed size. The sides are a fixed length.