The conversation between human and AI assistant.
What are all distinct triangles having one side of length 6 with the other 2 sides being integers and the perimeter numerically equal to area?
That makes sense. Are there any other interesting properties of this triangle?
Yes, actually. The triangle with sides 6, 8, and 10 is a Pythagorean triple, which means that the sum of the squares of the two smaller sides is equal to the square of the largest side. In other words, 6^2 + 8^2 = 10^2.