Exploring Pythagorean Theorem Applications in Word Problems

This video tutorial from YourTeacher.com demonstrates how to solve a geometry problem involving a ladder leaning against a building. The problem is set up by identifying the known values and using the Pythagorean theorem to find the unknown height where the ladder touches the building. The solution involves calculating the square of the known distances, subtracting to isolate the unknown variable, and taking the square root to find the final answer.

What is the main topic of the video?

• Introduction to geometry

• Solving real-world math problems

• Learning about the Pythagorean theorem

• Understanding algebra

How long is the ladder mentioned in the problem?

• 28 feet

• 21 feet

• 45 feet

• 35 feet

What distance is the base of the ladder from the building?

• 21 feet

• 28 feet

• 45 feet

• 35 feet

Which theorem is used to solve the problem?

• Theorem of calculus

• Pythagorean theorem

• Law of cosines

• Theory of relativity

What is the value of 21 squared?

• 576

• 529

• 484

• 441

What does x represent in the problem?

• Width of the building

• Height where the ladder touches the building

• Distance from the building

• Length of the ladder

What is the final value of x in the equation?

• 35

• 42

• 28

• 21

What mathematical operation is performed to isolate x squared?

• Division

• Addition

• Subtraction

• Multiplication

How is the exact height at which the ladder touches the building determined?

• By dividing 1225 by 35

• By multiplying 21 by 2

• By calculating the square root of 784

• By adding 21 and 35