Solving Pythagorean Theorem Word Problems

The video tutorial introduces the Pythagorean theorem and demonstrates its application through three examples: calculating the diagonal of a laptop, determining how high a ladder reaches on a building, and comparing swimming distances along the edges versus diagonally across a pool. The instructor emphasizes the importance of drawing diagrams and carefully labeling parts of the triangle to solve problems effectively.

What formula is used to find the diagonal of a rectangle?

• A^2 - B^2 = C^2

• A/B = C

• A^2 + B^2 = C^2

• 2A + 2B = C

Tags

CCSS.8.G.B.8

What is the length of the laptop's diagonal to the nearest tenth?

• 18.5 inches

• 17.8 inches

• 18.8 inches

• 19.0 inches

Tags

CCSS.8.G.B.8

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

• Identify the hypotenuse

• Draw a picture

• Calculate the square root

• Add the sides

Tags

CCSS.8.G.B.8

What does the hypotenuse represent in these problems?

• The shortest side of the triangle

• The longest side opposite the right angle

• The sum of the two legs

• The difference between the two legs

Why is it beneficial to draw a diagram for Pythagorean theorem problems?

• To visually represent the problem

• To make the problem look easier

• To practice drawing skills

• To identify the right angle

Tags

CCSS.8.G.B.8

What is the purpose of rounding in these problems?

• To make calculations easier

• To get an exact answer

• To follow the problem's instructions

• To avoid using a calculator

How far up does the ladder reach on the building?

• 10.9 feet

• 11.0 feet

• 12.0 feet

• 10.5 feet

Tags

CCSS.2.MD.A.3

What is the correct step to solve for an unknown side in the Pythagorean theorem?

• Multiply both sides by 2

• Subtract one side from the other

• Take the square root of both sides

• Add the two known sides

Tags

CCSS.8.G.B.8

How many more meters do you swim along the edges of the pool compared to diagonally across?

• 25 meters

• 30 meters

• 35 meters

• 40 meters

Tags

CCSS.8.G.B.8

What is the diagonal length of the pool?

• 80 meters

• 95 meters

• 90 meters

• 85 meters

Tags

CCSS.8.G.B.8