Pythagorean Theorem Word Problems Challenge

The video tutorial covers solving word problems using the Pythagorean theorem. It begins with an introduction to the concept and then walks through several examples, including calculating the diagonal of a pool table, the height a ladder reaches on a wall, the distance from a starting point after driving, the diagonal distance on a baseball diamond, and the diagonal size of a television. The tutorial emphasizes drawing diagrams to simplify word problems and rounding results to the nearest tenth.

What is the first step in solving Pythagorean theorem word problems?

• Drawing a picture

• Calculating the hypotenuse

• Identifying the right angle

• Squaring the sides

Which of the following is a necessary step in solving Pythagorean theorem problems?

• Guessing the answer

• Ignoring the units of measure

• Drawing a diagram

• Skipping the square root step

What is the key to solving word problems according to the video?

• Memorizing formulas

• Drawing and labeling a picture

• Using a calculator for all steps

• Skipping difficult problems

What is the length of the diagonal of the pool table?

• 9.0 feet

• 8.9 feet

• 8.5 feet

• 9.5 feet

What is the purpose of rounding to the nearest tenth in these problems?

• To ensure accuracy

• All of the above

• Because the exact value is not needed

• To simplify the calculation

How high does the ladder reach on the wall?

• 17 feet

• 16 feet

• 15 feet

• 14 feet

Why is it important to label the sides in Pythagorean theorem problems?

• To avoid confusion

• All of the above

• To identify the hypotenuse and legs

• To make calculation easier

How far is Tara from her starting point?

• 26.5 miles

• 27.3 miles

• 24.6 miles

• 25.0 miles

What is the diagonal length of the baseball diamond?

• 130.0 feet

• 128.0 feet

• 127.3 feet

• 127.0 feet

What is the diagonal size of Isaac's television?

• 31.0 inches

• 30.8 inches

• 32.0 inches

• 30.5 inches