Determine the sides of a triangle produce an acute, obtuse or right triangle

The video tutorial guides students through determining if three given angles form a triangle and identifying the type of triangle (acute, right, or obtuse) using the Pythagorean theorem. The instructor explains the process of checking the sum of angles and applying the theorem to compare the squares of the sides. The tutorial concludes with calculations to verify the triangle type.

What is the first step to determine if three angles can form a triangle?

• Verify if the angles are all equal.

• Confirm that one angle is greater than 90 degrees.

• Ensure each angle is less than 90 degrees.

• Check if the sum of the angles is 180 degrees.

How do you identify the hypotenuse in a right triangle?

• It is the side adjacent to the right angle.

• It is the longest side of the triangle.

• It is the side opposite the smallest angle.

• It is the shortest side of the triangle.

What type of triangle is it if a^2 + b^2 is greater than c^2?

• Equilateral triangle

• Right triangle

• Acute triangle

• Obtuse triangle

In the example, what is the result of comparing 89 to 100?

• 89 is not comparable to 100.

• 89 is less than 100.

• 89 is greater than 100.

• 89 is equal to 100.

What conclusion is drawn about the triangle in the example?

• It is an acute triangle.

• It is an equilateral triangle.

• It is a right triangle.

• It is an obtuse triangle.