Pythagorean Theorem and Triangle Types

The video explores the Pythagorean inequalities theorem, demonstrating how it can be used to determine if a triangle is obtuse or acute, rather than just identifying right triangles. Through examples, the video shows how to apply the theorem to calculate and interpret the size of angles in triangles, emphasizing the versatility of the Pythagorean theorem beyond its traditional use.

What is the primary focus of the Pythagorean Inequalities Theorem?

• Solving for the hypotenuse of a triangle

• Determining the type of triangle

• Finding the perimeter of a triangle

• Calculating the area of a triangle

If the Pythagorean Theorem holds true, what type of triangle is it?

• Obtuse triangle

• Scalene triangle

• Acute triangle

• Right triangle

What does it mean if C squared is greater than A squared plus B squared?

• The triangle is equilateral

• The triangle is right

• The triangle is obtuse

• The triangle is acute

In the example given, what was the hypotenuse of the obtuse triangle?

• 12

• 5

• 15

• 10

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

• 144

• 196

• 225

• 169

Why is the triangle with sides 15, 12, and 5 considered obtuse?

• The hypotenuse is too small

• The hypotenuse is too large

• The legs are equal

• The angles are all equal

In the acute triangle example, what are the sides of the triangle?

• 7, 5, 9

• 9, 8, 7

• 12, 5, 15

• 10, 6, 8

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

• 64

• 113

• 81

• 100

Why is the triangle with sides 9, 8, and 7 considered acute?

• The hypotenuse is too small

• The angles are all equal

• The hypotenuse is too large

• The legs are equal

What is the main takeaway about the Pythagorean Theorem from the video?

• It only solves for hypotenuse

• It is only for right triangles

• It can classify triangles

• It is used for calculating area