Understanding Triangle Types

The video tutorial explains how to determine if a triangle is right, obtuse, or acute by comparing the squares of its side lengths. It provides a method to identify the longest side and compare it with the sum of the squares of the other two sides. The tutorial includes three practice problems to illustrate the process: identifying an acute triangle, an obtuse triangle, and a right triangle.

What is the purpose of comparing A^2 + B^2 with C^2 in triangles?

• To determine the type of triangle

• To identify the hypotenuse

• To find the area of the triangle

• To calculate the perimeter

If A^2 + B^2 equals C^2, what type of triangle is it?

• Scalene triangle

• Right triangle

• Obtuse triangle

• Acute triangle

How do you identify the longest side in a triangle?

• It is always the first side listed

• It is the side opposite the smallest angle

• It is the side with the largest length

• It is the side with the smallest length

In the first practice problem, what type of triangle are the sides 21, 12, and 24?

• Acute triangle

• Obtuse triangle

• Equilateral triangle

• Right triangle

What is the result of 21^2 + 12^2 in the first practice problem?

• 576

• 585

• 676

• 961

In the second practice problem, which side is identified as C?

• 24

• 13

• 17

• 31

What type of triangle are the sides 13, 31, and 17?

• Isosceles triangle

• Right triangle

• Acute triangle

• Obtuse triangle

In the third practice problem, what is the sum of 10^2 + 24^2?

• 676

• 585

• 961

• 576

What type of triangle are the sides 10, 26, and 24?

• Right triangle

• Obtuse triangle

• Acute triangle

• Scalene triangle

If C^2 is greater than A^2 + B^2, what type of triangle is it?

• Obtuse triangle

• Equilateral triangle

• Right triangle

• Acute triangle