What is the Pythagorean Inequality Theorem

The video tutorial explains the Pythagorean theorem and its converse, which is used to determine if a triangle is a right triangle. It further explores the Pythagorean inequality theorem, which helps identify whether a triangle is acute or obtuse based on the relationship between the squares of its sides. The tutorial concludes with a brief explanation of inequality symbols.

What does the converse of the Pythagorean theorem help determine?

• If a triangle is scalene

• If a triangle is equilateral

• If a triangle is isosceles

• If a triangle is a right triangle

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

• Equilateral triangle

• Obtuse triangle

• Acute triangle

• Right triangle

What type of triangle is formed when the sum of the squares of the legs is less than the square of the hypotenuse?

• Isosceles triangle

• Obtuse triangle

• Acute triangle

• Right triangle

Which symbol represents 'less than'?

• <

• ≠

• >

• =

Which symbol represents 'greater than'?

• <

• >

• =

• ≠