In order to solve the magic triangle problem, we want to use uninformed search algorithms. To do this, it is considered that it starts with an empty triangle, and the six numbers are placed one by one, starting with $1,$ until all $6$ spaces are filled. That is$,$ when selecting the space for number $1,$ we proceed to select the space for number $2$ among the five remaining circles, and so on$.$ If after placing the $6$ numbers you have a triangle where its three sides add up to $10,$ you have a valid solution.

Formulate the search problem you want to solve, formally describe the problem.

Solve the problem $"$by hand" by developing search trees $4$ levels deep:

width search