Exploring Pythagorean Theorem Word Problems

In lesson 11-2, the Pythagorean theorem is applied to various problems, including finding the length of a ladder, determining unknown sides of triangles, calculating the length of a banister, checking if a triangle is a right triangle, and computing the distance saved by a shortcut. Each example demonstrates practical applications of the theorem, emphasizing problem-solving with diagrams and word problems.

What formula is used to calculate the length of the ladder?

• 2a + 2b = c

• a + b = c^2

• a^2 - b^2 = c^2

• a^2 + b^2 = c^2

What is the length of the ladder rounded to the nearest tenth?

• 22.0 feet

• 21.0 feet

• 20.0 feet

• 19.0 feet

What is the correct representation of the Pythagorean theorem?

• a^2 = b^2 + c^2

• a^2 + b^2 = c

• a^2 + b^2 = c^2

• a + b + c = 0

What is the first step in solving a Pythagorean theorem problem?

• Adding a and b

• Identifying the right triangle

• Subtracting c from both sides

• Square rooting both sides

What method is used to isolate the variable in the Pythagorean theorem equation?

• Square rooting

• Division

• Subtraction

• Multiplication

How is the height of the plane above the ground rounded?

• To the nearest mile

• To the nearest tenth of a mile

• To the nearest hundredth of a mile

• To the nearest meter

What is the purpose of rounding in the context of the Pythagorean theorem problems discussed?

• To ensure accuracy

• To make the numbers easier to remember

• To meet specific direction requirements

• To simplify the calculation

What is the length of the banister for the stairs?

• 12 feet

• 15 feet

• 13 feet

• 14 feet

Is the Research Triangle in North Carolina a right triangle?

• No

• Cannot be determined

• Yes

• Only during leap years

How many meters are saved by walking through the pond?

• 23 meters

• 22 meters

• 21 meters

• 20 meters