How does the pythagorean inequality theorem prove obtuse triangles

The video tutorial explains that the sum of angles in a triangle is 180 degrees. It covers different types of triangles, including acute, right, and obtuse triangles, and how to identify them. The Pythagorean inequality is introduced as a method to determine if a triangle is obtuse. The tutorial concludes with a homework assignment to classify triangles as acute, obtuse, or right.

What is the total sum of angles in any triangle?

• 270 degrees

• 360 degrees

• 180 degrees

• 90 degrees

Which type of triangle has all angles less than 90 degrees?

• Acute triangle

• Equilateral triangle

• Obtuse triangle

• Right triangle

A triangle with one angle measuring exactly 90 degrees is called a:

• Scalene triangle

• Right triangle

• Acute triangle

• Obtuse triangle

If a triangle has one angle greater than 90 degrees, it is known as a:

• Isosceles triangle

• Obtuse triangle

• Acute triangle

• Right triangle

According to the Pythagorean inequality, for a triangle to be obtuse, A^2 + B^2 must be:

• Equal to C^2

• Greater than C^2

• Less than C^2

• Equal to A^2 + B^2