Determining Triangle Types with the Pythagorean Inequality Theorem

The video tutorial explains the Pythagorean theorem and how to determine if a triangle is right, acute, or obtuse by rearranging the equation. It provides examples to illustrate how the lengths of the sides affect the angles of the triangle, demonstrating the conditions for each type of triangle.

What equation is used as the basis for identifying triangle types?

• A^2 + B^2 = 2C

• A^2 + B^2 = C^2

• 2A + 2B = C^2

• A^2 - B^2 = C^2

In the rearranged equation, where is the longest side placed?

• On the left

• In the middle

• On the right

• It does not matter

What does it indicate if C^2 is greater than A^2 + B^2?

• Right triangle

• Acute triangle

• Obtuse triangle

• Equilateral triangle

What type of triangle is formed when C^2 = A^2 + B^2?

• Acute triangle

• Isosceles triangle

• Right triangle

• Obtuse triangle

What does it indicate if C^2 is less than A^2 + B^2?

• Obtuse triangle

• Acute triangle

• Equilateral triangle

• Right triangle

How does increasing the length of side C affect the triangle's angles?

• Has no effect on the angles

• Makes all angles larger

• Makes all angles smaller

• Makes the opposite angle larger than 90°

What is the result of compressing side C in a triangle?

• Forms an obtuse triangle

• Forms a right triangle

• Changes the triangle into a circle

• Forms an acute triangle

If the sides of a triangle are 4, 5, and 6, what type of triangle is it?

• Obtuse triangle

• Acute triangle

• Right triangle

• Equilateral triangle

For a triangle with sides 9, 12, and 15, what type of triangle is it?

• Acute triangle

• Obtuse triangle

• Right triangle

• Isosceles triangle

If a triangle has sides 4, 7, and 8, what type of triangle is it?

• Equilateral triangle

• Right triangle

• Obtuse triangle

• Acute triangle