Pythagorean Theorem Word Problems Challenge

The video tutorial covers the application of the Pythagorean theorem in solving real-life problems. It includes four examples: a ladder leaning against a wall, calculating the distance between two points, finding the base of an isosceles triangle, and determining the diagonal of a football field. Each example is solved step-by-step, emphasizing the importance of drawing diagrams to identify the right triangle components. The tutorial encourages viewers to think of additional real-life scenarios where the Pythagorean theorem can be applied.

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

• To make the problem look more appealing

• To help identify the right triangle and its components

• To practice drawing skills

• To fill up space on the paper

Tags

CCSS.8.G.B.8

What formula is used to solve Pythagorean theorem problems?

• a^2 + b^2 = c^2

• ab = c^2

• a^2 - b^2 = c^2

• 2a + 2b = c

Tags

CCSS.8.G.B.8

In the context of the Pythagorean theorem, what does the 'c' typically represent?

• The hypotenuse of the triangle

• The height of the triangle

• One of the legs of the triangle

• The base of the triangle

Tags

CCSS.8.G.B.8

If a ladder is 14 feet long and its base is 6 feet away from the wall, how high does it reach up the wall?

• 12 feet

• 13.5 feet

• 12.6 feet

• 13 feet

Tags

CCSS.8.G.B.8

How far apart are Josh and Ben if Josh rode 3 miles north and Ben rode 2 miles east?

• 3.2 miles

• 4.5 miles

• 3.6 miles

• 4 miles

Tags

CCSS.8.G.B.8

When solving for the distance between two points, what is the significance of finding 'c' in the formula a^2 + b^2 = c^2?

• It determines the area between the two points

• It calculates the perimeter of the area covered

• It signifies the direct distance between the two points

• It represents the total distance traveled

Tags

CCSS.HSG.SRT.C.8

What is the length of the base of an isosceles triangle with legs measuring 10 feet and a height of 7 feet?

• 15.2 feet

• 15 feet

• 14.2 feet

• 14 feet

Tags

CCSS.6.G.A.1

In solving for the base of an isosceles triangle, why is the base multiplied by 2 after finding one half?

• To account for both sides of the triangle

• To double the height for accuracy

• To find the total area of the triangle

• Because the formula requires it

Tags

CCSS.8.G.B.8

How long is the diagonal distance a football player covers when running across a 120 yards by 53 yards field?

• 130 yards

• 133 yards

• 131.2 yards

• 132 yards

Tags

CCSS.8.G.B.8

What is the purpose of using the Pythagorean theorem in real-life scenarios?

• To understand the theory of relativity

• To solve complex algebraic equations

• To calculate distances and measurements accurately

• To improve drawing skills

Tags

CCSS.8.G.B.8