Determine if a triangle is acute or obtuse using the Pythagorean inequality theorem

The video tutorial explains the Pythagorean inequality theorem, which helps determine if a triangle is acute, obtuse, or right based on the lengths of its sides. The largest side is identified as the hypotenuse, and the theorem is applied by comparing the sum of the squares of the other two sides to the square of the hypotenuse. Through calculations, the video demonstrates how to classify a triangle as obtuse when the sum of the squares of the legs is less than the square of the hypotenuse.

What does the Pythagorean inequality theorem help us determine about a triangle?

• The color of the triangle

• The type of triangle based on angles

• The perimeter of the triangle

• The area of the triangle

In the Pythagorean inequality theorem, what is the largest side of the triangle called?

• Diagonal

• Hypotenuse

• Height

• Base

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

• Obtuse

• Right

• Acute

• Scalene

What is the result of 7 squared plus 15 squared in the example provided?

• 225

• 441

• 49

• 274

What conclusion is reached about the triangle in the example?

• It is an acute triangle

• It is an equilateral triangle

• It is an obtuse triangle

• It is a right triangle