Determine if a triangle is acute or obtuse using the Pythagorean inequality theorem

The video tutorial explains the Pythagorean inequality theorem, which helps determine if a triangle is acute, obtuse, or right based on the lengths of its sides. The largest side is identified as the hypotenuse, and the theorem is applied by comparing the sum of the squares of the other two sides to the square of the hypotenuse. Through calculations, the video demonstrates how to classify a triangle as obtuse when the sum of the squares of the legs is less than the square of the hypotenuse.

What is the significance of the largest length in determining the type of triangle?

How do you determine if a triangle is acute, obtuse, or right using the Pythagorean inequality theorem?

Calculate the sum of the squares of the legs given the lengths 7 and 15.

What conclusion can be drawn if the sum of the squares of the legs is less than the square of the hypotenuse?

Explain how the Pythagorean inequality theorem is applied in this example.