In triangle ABC, AB + AC + BC = 1.5 * radical 2, AB * AB + AC * AC + BC * BC = 1.5?

In triangle ABC, AB + AC + BC = 1.5 * radical 2, AB * AB + AC * AC + BC * BC = 1.5?

Check from the triangle with the shape of equilateral and right angle
If it is an equilateral triangle, each side (0.5 * radical 2) and three sides (1.5 * radical 2)
Sum of squares of three sides = (0.5 * radical 2) * (0.5 * radical 2) * 3 = 1.5
It can be seen that the shape of triangle ABC is an equilateral triangle
(equilateral triangles and right triangles are mutually exclusive, so they are no longer assumed to be right triangles.)