Solving Pythagorean Theorem Word Problems

The video tutorial focuses on the Pythagorean theorem, explaining its formula and application in solving word problems. It begins with a basic problem involving a right triangle, followed by three practical examples: calculating the length of a ladder leaning against a wall, determining the width of a TV screen, and finding the length of a zipline. Each example demonstrates how to apply the theorem to real-world scenarios, reinforcing the concept of using a squared plus b squared equals c squared to find unknown side lengths in right triangles.

What is the formula of the Pythagorean theorem?

• 2a + 2b = c^2

• a^2 - b^2 = c^2

• a^2 + b^2 = 2c

• a^2 + b^2 = c^2

If the first leg of a right triangle is 36 meters and the second leg is 18 meters, what is the length of the third leg?

• 40.25 meters

• 54 meters

• 30 meters

• 48 meters

What operation is performed after adding the squares of the legs in the Pythagorean theorem?

• Multiplication

• Subtraction

• Square root

• Division

In the context of the Pythagorean theorem, what does 'c' typically represent?

• The length of the hypotenuse

• The area of the triangle

• The height of the triangle

• The length of the base

How far should the foot of the ladder be placed from the wall to ensure it reaches 8 feet up the wall?

• 8 feet

• 10 feet

• 12 feet

• 6 feet

What is the length of the ladder if it reaches 8 feet up the wall?

• 6 feet

• 8 feet

• 14 feet

• 10 feet

If a TV screen is 20 inches long and the diagonal measures 25 inches, what is the width of the TV?

• 15 inches

• 20 inches

• 25 inches

• 10 inches

What is the formula used to calculate the width of Donna's TV?

• a^2 + b^2 = 2c

• 2a + 2b = c^2

• a^2 - b^2 = c^2

• a^2 + b^2 = c^2

If the zip line starts 40 meters above the ground and the anchor is 198 meters away, how long is the zip line?

• 202 meters

• 238 meters

• 180 meters

• 215 meters

What are the lengths of the legs in the zip line problem?

• 40 meters and 198 meters

• 30 meters and 170 meters

• 50 meters and 150 meters

• 60 meters and 180 meters