Pythagorean Theorem Applications

The video tutorial explains how to solve word problems using the Pythagorean theorem. It emphasizes the importance of starting with a diagram and provides two examples: a triangular garden and a ladder against a wall. For each example, both algebraic and diagram methods are demonstrated to find the unknown side of a right triangle. The tutorial highlights the use of the Pythagorean theorem in practical scenarios and provides step-by-step solutions to enhance understanding.

What is the key to successfully solving word problems using the Pythagorean theorem?

• Memorizing the formula

• Starting with a good diagram

• Using a calculator

• Practicing regularly

In the triangular garden problem, what is the length of each fence side?

• 5 meters

• 3 meters

• 2 meters

• 4 meters

What is the unknown side in the triangular garden problem referred to as?

• Base

• Height

• Diagonal

• Hypotenuse

How do you calculate the hypotenuse using the Pythagorean theorem?

• a^2 + b = c^2

• a^2 - b^2 = c^2

• a + b = c

• a^2 + b^2 = c^2

What is the approximate length of the brick edging needed for the triangular garden?

• 2.5 meters

• 3.0 meters

• 2.8 meters

• 3.5 meters

In the diagrammatic approach, what is the area of each square on the fence sides?

• 6 meters squared

• 4 meters squared

• 8 meters squared

• 2 meters squared

What is the setup of the ladder problem?

• A ladder leaning against a house wall

• A ladder standing upright

• A ladder leaning against a tree

• A ladder lying flat on the ground

What is the minimum distance the ladder's base must be from the wall for safety?

• 3.0 feet

• 2.0 feet

• 2.5 feet

• 3.5 feet

What is the length of the ladder used in the problem?

• 10 feet

• 8 feet

• 12 feet

• 15 feet

How do you find the greatest height the ladder can reach using the Pythagorean theorem?

• a^2 + b = c^2

• a + b = c

• a^2 - b^2 = c^2

• a^2 + b^2 = c^2