+1589 Triangle ABC is rotated clockwise about A to triangle $AB'C',$ as shown in the diagram. We know the length of the path taken by vertex $B$ is $6.$ What is the length of the path taken by vertex $C?$
+4 The path of B is an arc with radius AB and central angle θ, length 6 = AB * θ (radians).
The path of C is an arc with radius AC and same θ, so length = AC * θ = 6 * (AC / AB).
