Pythagorean Theorem and Triangle Classification

The video tutorial explains the Pythagorean inequalities theorem, which helps determine if given side lengths can form a triangle and classify it as acute, obtuse, or right. It covers the triangle inequality rule, provides examples, and explains how to use the theorem to classify triangles based on side lengths. The tutorial concludes with practice problems for further learning.

What is the primary purpose of the Pythagorean Inequalities Theorem?

• To calculate the area of a triangle

• To determine if side lengths can form a triangle and classify it

• To find the perimeter of a triangle

• To measure the angles of a triangle

Which condition must be met for three side lengths to form a triangle?

• The sum of any two sides must be less than the third side

• The sum of any two sides must be equal to the third side

• The sum of all sides must be equal

• The sum of any two sides must be greater than the third side

What is the purpose of the triangle inequality rule?

• To determine if side lengths can form a triangle

• To measure the angles of a triangle

• To calculate the area of a triangle

• To find the perimeter of a triangle

What does the Pythagorean Inequalities Theorem help classify?

• The height of a triangle

• The color of a triangle

• The type of triangle based on side lengths

• The type of angles in a triangle

What is the next step after determining that side lengths can form a triangle?

• Calculate the area

• Measure the angles

• Classify the triangle as acute, obtuse, or right

• Find the perimeter

What is the next step after using the triangle inequality rule?

• Find the perimeter

• Measure the angles

• Classify the triangle as acute, obtuse, or right

• Calculate the area

If the sum of the squares of two sides is greater than the square of the third side, what type of triangle is it?

• Obtuse triangle

• Scalene triangle

• Acute triangle

• Right triangle

In the example with side lengths 8, 11, and 13, what type of triangle is formed?

• Equilateral triangle

• Obtuse triangle

• Right triangle

• Acute triangle

What is the result of 8² + 11² in the example provided?

• 121

• 185

• 144

• 169

What is the result of 13² in the example provided?

• 169

• 185

• 121

• 144