Pythagorean Theorem Applications

This video tutorial teaches how to find the hypotenuse of a right triangle using the Pythagorean theorem. It reviews the formulas a² + b² = c² and explains common mistakes in identifying the hypotenuse. The tutorial includes practical examples, such as calculating the length of a ladder leaning against a house and the diagonal of a TV screen, to demonstrate the application of the theorem.

What is the main focus of this lesson?

• Calculating the perimeter of a square

• Understanding the properties of circles

• Finding the area of a triangle

• Finding the hypotenuse of a right triangle

Which formula represents the Pythagorean theorem?

• a^2 + b^2 = c^2

• a^2 - b^2 = c^2

• a^2 = b^2 + c^2

• a^2 + b^2 = 2c

Where is the hypotenuse located in a right triangle?

• Between the two legs

• Next to the smallest angle

• Adjacent to the longest side

• Opposite the 90-degree angle

In the example with the house, what is the length of the ladder?

• 24 feet

• 12 feet

• 7 feet

• 25 feet

What is the height of the house in the example problem?

• 25 feet

• 7 feet

• 24 feet

• 12 feet

In the TV example, what are the dimensions of the TV?

• 10 inches tall and 25 inches wide

• 25 inches tall and 40 inches wide

• 20 inches tall and 30 inches wide

• 15 inches tall and 36 inches wide

How do you find the diagonal of the TV in the example?

• By multiplying the height and width

• By subtracting the width from the height

• By using the Pythagorean theorem

• By adding the height and width

What is the length of the diagonal of the TV?

• 25 inches

• 36 inches

• 15 inches

• 39 inches

What is the purpose of using the Pythagorean theorem in these examples?

• To determine the perimeter of a shape

• To calculate the hypotenuse or diagonal

• To measure the angles of a triangle

• To find the area of a triangle

What have you learned in this lesson?

• How to find the perimeter of a square

• How to measure angles in a triangle

• How to calculate the area of a circle

• How to find the hypotenuse using the Pythagorean theorem