Applying the Pythagorean Theorem

This video tutorial covers the application of the Pythagorean theorem to solve real-world problems. It begins with an introduction and learning objectives, followed by guidelines on when to simplify radicals or round decimals. The tutorial then presents three practical problems: calculating the distance a catcher throws in baseball, determining the reach of a ladder to an open window, and checking if a computer monitor fits in a cabinet. Each problem is solved using the Pythagorean theorem, demonstrating its practical use in everyday scenarios.

What is the main objective of this lesson?

• To learn about the history of the Pythagorean theorem.

• To apply the Pythagorean theorem to real-world scenarios.

• To memorize the Pythagorean theorem formula.

• To solve algebraic equations using the Pythagorean theorem.

When should you simplify radicals according to the lesson?

• Never, you should always round decimals.

• Always, regardless of the problem type.

• Only for real-world problems.

• For non-real-world problems.

What is an exact answer in the context of this lesson?

• A whole number.

• An estimated value.

• A value in square root form.

• A rounded decimal value.

In the baseball problem, what is the distance between each base?

• 60 feet

• 90 feet

• 120 feet

• 100 feet

What is the calculated distance the catcher throws the ball in the baseball problem?

• 150 feet

• 127.23 feet

• 100 feet

• 90 feet

In the ladder problem, how far is the base of the ladder from the house?

• 9 feet

• 12 feet

• 7 feet

• 5 feet

What is the length of the ladder when fully extended?

• 20 feet

• 22 feet

• 18 feet

• 15 feet

How high can the ladder reach on the house?

• 12 feet

• 18 feet

• 10 feet

• 15.59 feet

Will the ladder reach the window that is 12 feet from the ground?

• Only if the base is closer to the house

• Yes

• No

• Only if the ladder is extended further

What is the maximum diagonal size of the monitor Mary can buy?

• 22 inches

• 18 inches

• 20 inches

• 24 inches