Directions: Using the digits 1 to 9, at most one time each, fill in the boxes to fill in the circles of the triangle. The sum of the numbers on each side of the triangle is equal to the length of that side. Arrange the numbers so that the triangle is an equilateral triangle.

### Hint

What are the criteria for an equilateral triangle?

Source: Erick Lee

are we supposed to answer the question.

so…

Is there a solution where the side lengths are something other than 23?

We got all sides to be 17. Starting at a corner, we did: 1, 8, 6, 2, 5, 7, 3, 4, 9.