Let \(\Delta ABC\) be an equilateral triangle. How many squares in the same plane as \(\Delta ABC\) share two vertices with the triangle?

(Post a solution not an answer.)

amazingxin777 Jun 13, 2020

#3**+1 **

**Case 1:** A side of the square as a side of the triangle

There are 6 cases for this: One square can be on the outside of the triangle, and one that contains the triangle.

**Case 2:** A diagonal of the square as a side of the triangle

There are 3 cases for this, because there are three sides.

In all: 6 + 3 = 9 sides

thelizzybeth Jun 13, 2020