Note: written in a light, conversational tone inspired by the character Ally McBeal (not authored by that character).
For this ACARA v9 task she was asked to join five points to make a single continuous path with consecutive segment lengths √10, √10, 5 and √10; the order of the points was not given.
She fluently applied the Pythagorean Theorem to compute distances, recognising where squared values matched 10 and 25 and turning the geometric constraints into clear algebraic checks. She assigned coordinates and constructed consecutive segments that satisfied the prescribed lengths, using those computations to identify the correct and complete path.
Her work demonstrates algorithmic thinking and crisp spatial reasoning, combining logical rigour with a touch of creative flair.