Pythagorean Theorem Word Problems Challenge

The video tutorial covers solving two word problems using the Pythagorean theorem. The first problem involves calculating the diagonal of a rectangle pool, while the second problem focuses on determining the distance from a wall using a pole vault scenario. The instructor emphasizes the importance of drawing diagrams and identifying right triangles to solve these problems effectively.

What is the key word indicating the use of the Pythagorean theorem?

• Diagonal

• Pool

• Rectangle

• Swim

What formula is used to calculate the diagonal of the rectangle?

• A * B = C^2

• A + B = C

• A^2 + B^2 = C^2

• A^2 - B^2 = C^2

What is the first step in solving these word problems?

• Squaring the lengths

• Drawing a diagram

• Calculating the square root

• Identifying the right angle

What is the length of the rectangle's diagonal, rounded to the nearest tenth?

• 50.0 meters

• 55.9 meters

• 60.0 meters

• 55.0 meters

What is the purpose of taking the square root in these problems?

• To calculate the perimeter

• To calculate the volume

• To find the area of the shape

• To determine the length of the diagonal or missing side

How high did the top of the pole reach on the wall?

• 14 feet

• 9.6 feet

• 93 feet

• 17 feet

Which of the following represents the correct application of the Pythagorean theorem?

• C^2 = A^2 + B^2

• C = A + B

• C^2 = A^2 - B^2

• A^2 + B^2 = C

What shape is formed by the pool, wall, and pole in their respective problems?

• Rectangle

• Right triangle

• Circle

• Square

Why is it important to label the sides in these problems?

• To identify the hypotenuse and legs

• To make the diagram look neat

• To calculate the area

• To determine the shape

What is the distance from the wall to the bottom of the pole?

• 9.6 feet

• 14 feet

• 17 feet

• 93 feet