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.

What determines if a triangle is right, acute, or obtuse?

• The perimeter of the triangle

• The sum of the squares of the legs compared to the hypotenuse squared

• The length of the hypotenuse

• The sum of the angles

If the sum of the squares of the legs is less than the square of the hypotenuse, what type of triangle is it?

• Obtuse triangle

• Equilateral triangle

• Right triangle

• Acute triangle

In the example, what is the square of the hypotenuse?

• 144

• 169

• 100

• 244

What is the sum of the squares of the legs in the example?

• 100

• 144

• 169

• 244

Based on the calculations, what type of triangle is formed by the given sides?

• Obtuse triangle

• Right triangle

• Scalene triangle

• Acute triangle