Triangle Classification and Pythagorean Theorem

This video tutorial teaches how to classify triangles using the Pythagorean Theorem. It explains the characteristics of right, acute, and obtuse triangles, and how to identify the hypotenuse. The video demonstrates using the Pythagorean Theorem to prove if a triangle is right, and how to determine if a triangle is obtuse or acute based on side lengths.

Which type of triangle has one angle greater than 90 degrees?

• Obtuse triangle

• Acute triangle

• Right triangle

• Equilateral triangle

What is the Pythagorean Theorem used for?

• Finding the area of a triangle

• Determining the perimeter of a triangle

• Classifying triangles by angles

• Calculating the length of sides in right triangles

In the Pythagorean Theorem, what does 'c' represent in the formula a² + b² = c²?

• The hypotenuse

• The perimeter of the triangle

• One of the legs

• The area of the triangle

How can you identify the hypotenuse in a right triangle?

• It is opposite the smallest angle

• It is the shortest side

• It is opposite the 90-degree angle

• It is the side with the smallest number

If a triangle has sides 9, 12, and 15, is it a right triangle?

• Yes, because 9 + 12 = 15

• No, because 9 + 12 ≠ 15

• No, because 9² + 12² ≠ 15²

• Yes, because 9² + 12² = 15²

What conclusion can be drawn if the sum of the squares of the legs is less than the square of the hypotenuse?

• The triangle is equilateral

• The triangle is obtuse

• The triangle is acute

• The triangle is right

For a triangle with sides 6, 12, and 13, what type of triangle is it?

• Obtuse triangle

• Right triangle

• Scalene triangle

• Acute triangle

What happens if the sum of the squares of the legs is greater than the square of the hypotenuse?

• The triangle is right

• The triangle is obtuse

• The triangle is isosceles

• The triangle is acute

Which formula can be used to verify if a triangle is right?

• a² - b² = c²

• a + b = c

• a² + b² = c²

• a² + b² > c²

What is the main takeaway from this lesson?

• How to draw different types of triangles

• How to calculate the area of triangles

• How to classify triangles using the Pythagorean Theorem

• How to find the perimeter of triangles