Understanding Right Triangles and the Pythagorean Theorem

The video tutorial explains how to determine if a triangle is a right triangle using the Pythagorean Theorem. It emphasizes identifying the hypotenuse as the longest side and provides two examples: one confirming a right triangle and another showing a non-right triangle, which is identified as obtuse. The tutorial highlights the importance of comparing the square of the hypotenuse with the sum of the squares of the other two sides.

What is the main goal when given the lengths of three sides of a triangle?

• To determine if the triangle is equilateral

• To find the area of the triangle

• To determine if the triangle is a right triangle

• To calculate the perimeter of the triangle

In the Pythagorean Theorem, what does 'c' represent?

• The perimeter of the triangle

• The area of the triangle

• The length of the hypotenuse

• The length of one of the legs

Which side of a right triangle is opposite the right angle?

• The shortest side

• The longest side

• The side with the largest angle

• The side with the smallest angle

In the first example, what are the values of 'a' and 'b'?

• 10 and 24

• 12 and 35

• 18 and 24

• 8 and 15

What is the result of 12 squared plus 35 squared in the first example?

• 1225

• 1369

• 324

• 144

In the second example, what is the value of 'c'?

• 12

• 15

• 18

• 8

What is the sum of 8 squared and 15 squared in the second example?

• 64

• 225

• 289

• 324

What type of triangle is formed when c-squared is greater than a-squared plus b-squared?

• Obtuse triangle

• Acute triangle

• Right triangle

• Equilateral triangle

What is the range of angles in an obtuse triangle?

• Between 90 and 180 degrees

• Exactly 90 degrees

• More than 180 degrees

• Less than 90 degrees

What does it mean if a triangle does not satisfy the Pythagorean Theorem?

• It is an isosceles triangle

• It is a right triangle

• It is not a right triangle

• It is an equilateral triangle