Pythagorean Theorem Concepts

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