The video tutorial explains the Pythagorean Theorem, applicable only to right triangles, where one angle is 90 degrees. It describes how to identify the hypotenuse and legs of a triangle and provides the theorem's formula: a² + b² = c². Two examples are given to demonstrate how to find unknown side lengths using the theorem, with step-by-step calculations and explanations.

What type of triangle is the Pythagorean Theorem applicable to?

• Scalene triangle

• Right triangle

• Isosceles triangle

• Equilateral triangle

What is a defining feature of a right triangle?

• Two angles are equal

• All angles are less than 90 degrees

• All sides are equal

• One angle is 90 degrees

In a right triangle, what is the side opposite the 90-degree angle called?

• Leg

• Hypotenuse

• Height

• Base

What is the first step in solving a problem using the Pythagorean Theorem?

• Identify the hypotenuse

• Measure the angles

• Calculate the area

• Find the perimeter

Which of the following represents the Pythagorean Theorem?

• a² + b² = c²

• a² + b² = c

• a + b = c²

• a² = b² + c²

If one leg of a right triangle is 7 and the other is 8, what is the hypotenuse?

• 10

• 11

• 12

• Approximately 10.6

What is the result of 7 squared plus 8 squared?

• 49

• 81

• 64

• 113

What is the approximate square root of 113?

• 10.3

• 10.8

• 10.5

• 10.6

In the example where the hypotenuse is 9 and one leg is 5, what is the length of the other leg?

• Approximately 7.5

• 7

• 8

• 6

What is the square of 9?

• 81

• 72

• 90

• 99