Pythagorean Theorem Word Problems Challenge

The video tutorial teaches how to solve word problems using the Pythagorean theorem. It emphasizes the importance of drawing triangles to visualize problems. Two examples are provided: calculating the shortest path around a pond and determining the height a ladder reaches on a wall. The tutorial also includes practice problems and stresses the need for accurate rounding and labeling of answers.

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

• Finding the hypotenuse directly

• Calculating the square root

• Adding the sides of the triangle

• Drawing a picture of the scenario

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

• To make the problem look nice

• To help visualize and label the triangle correctly

• Because it is a mandatory step

• To avoid using calculations

What are the side lengths given for the pond problem?

• 41 meters and 53 meters

• 20 meters and 41 meters

• 34 meters and 41 meters

• 34 meters and 20 meters

How is the distance saved by walking through the pond calculated?

• Using the Pythagorean theorem to find the hypotenuse

• Multiplying the two given sides

• Subtracting the longest side from the sum of the other two sides

• Dividing the sum of the squares of the two given sides

What is the distance saved by walking through the pond, rounded to the nearest meter?

• 54 meters

• 53 meters

• 55 meters

• 52 meters

For the ladder problem, what is the distance from the base of the ladder to the wall?

• 8 feet

• 20 feet

• 34 feet

• 19.6 feet

What is the height the ladder reaches on the wall, rounded to one decimal point?

• 20.0 feet

• 19.6 feet

• 21.6 feet

• 18.6 feet

When solving additional problems, to what precision should answers be rounded if not specified?

• To the nearest whole number

• To two decimal points

• No rounding necessary

• To one decimal point

What is the correct way to label the answers in geometry problems?

• Always in meters

• With the units provided in the problem

• Without units

• Using any unit of measurement

What should you do if you have questions while solving the problems?

• Ask for help

• Skip the question

• Guess the answer

• Check the answers first