Pythagorean Theorem Word Problems Challenge

This video tutorial covers the application of the Pythagorean Theorem in solving word problems. It begins with a review of the theorem's basics, including the formula a² + b² = c², where a and b are the legs and c is the hypotenuse. The video emphasizes the importance of rounding answers to the nearest tenth and drawing diagrams to visualize problems. Four examples are provided: finding the hypotenuse, finding a missing leg, solving for a side with the longest side given, and applying the theorem in a rectangular room scenario. Each example demonstrates step-by-step calculations and rounding techniques.

What is the formula for the Pythagorean theorem?

• a^2 + b^2 = c^2

• a^2 + b^2 + c^2 = 0

• 2a + 2b = c

• a^2 - b^2 = c^2

Which sides of the triangle are known as the legs?

• All sides are legs

• Sides a and b

• Sides b and c

• Sides a and c

What is the purpose of drawing a picture for word problems involving the Pythagorean theorem?

• To visualize the problem

• To ignore the given data

• To reduce the problem's accuracy

• To make the problem harder

Which side of the triangle is always opposite the right angle?

• All sides equally

• Side b

• Side a

• Side c (hypotenuse)

How do you find the hypotenuse if the legs are 6 and 3 units?

• Square root of (6^2 + 3^2)

• 6^2 - 3^2

• Square root of (6^2 - 3^2)

• 6 + 3

If one leg is 5 units and the hypotenuse is 13 units, what is the length of the other leg?

• 12 units

• 13 units

• 6 units

• 5 units

When solving for a leg length, what operation is performed after squaring the known sides?

• Addition

• Subtraction

• Multiplication

• Division

What is the correct rounding of 15.65 to the nearest tenth?

• 15.7

• 15.5

• 15.6

• 16.0

What is the length of the hypotenuse when the legs are 5 and 12 units?

• 10 units

• 12 units

• 17 units

• 13 units

For safety, how far should the base of the ladder be from the building to reach a 45 feet high window?

• 45 feet

• 18 feet

• 20 feet

• 15 feet