Meet Purple. She's a square that can have side lengths that are NOT integers. Imagine Purple's area is 40 square units.

What do you think her side length could be? Type your answer in the box.

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.