How to classify a triangle using the Pythagorean inequality Theorem ex 2

The video tutorial explains how to determine if a triangle is right, acute, or obtuse using the Pythagorean theorem. It describes the process of comparing the sum of the squares of the legs to the square of the hypotenuse. If the sum is less than the hypotenuse, the triangle is obtuse; if greater, it is acute; and if equal, it is a right triangle. An example calculation is provided, showing that a triangle with sides 10, 12, and 13 is acute.

Explain the significance of the relationship between the legs and the hypotenuse in classifying triangles.

Calculate the sum of the squares of the legs if one leg is 10 and the other is 12. What does this indicate about the triangle?