Understanding the Pythagorean Theorem

In this video, Mr. Jay explains how to find the length of the hypotenuse in a right triangle using the Pythagorean theorem. The video covers the equation a² + b² = c², where a and b are the legs and c is the hypotenuse. An example problem is presented with decimal side lengths, and the process of solving the equation is demonstrated step-by-step. The video concludes with rounding the result to the tenths place and summarizing the method used.

What is the primary purpose of using the Pythagorean theorem in this video?

• To determine the perimeter of a square

• To calculate the length of the hypotenuse

• To measure the angles of a triangle

• To find the area of a triangle

Tags

CCSS.8.G.B.8

In the equation a^2 + b^2 = c^2, what does 'c' represent?

• The area of the triangle

• The hypotenuse of the triangle

• One of the legs of the triangle

• The perimeter of the triangle

Tags

CCSS.2.MD.A.4

What are the given side lengths in the example used in the video?

• 6.7 feet and 15.2 feet

• 8.9 feet and 13.7 feet

• 5.5 feet and 12.3 feet

• 7.8 feet and 14.6 feet

Tags

CCSS.6.EE.A.1

What is the result of squaring 6.7 in the example?

• 44.89

• 45.56

• 46.78

• 43.21

Tags

CCSS.8.G.B.8

How do you isolate the hypotenuse in the equation?

• By taking the square root of the sum of the squares

• By adding the squares of the legs

• By subtracting the squares of the legs

• By multiplying the squares of the legs

Tags

CCSS.8.NS.A.2

What is the approximate square root of 275.93?

• 17.7

• 16.6

• 15.5

• 18.8

Tags

CCSS.8.NS.A.1

Why is the square root of 275.93 considered irrational?

• It is a negative number

• It is a whole number

• It is a non-repeating, non-terminating decimal

• It is a repeating decimal

To which decimal place is the hypotenuse rounded in the video?

• Hundredths place

• Units place

• Thousandths place

• Tenths place

Tags

CCSS.8.G.B.8

What is the approximate length of the hypotenuse in the example?

• 17.7 feet

• 18.8 feet

• 16.6 feet

• 15.5 feet

What is the significance of rounding the hypotenuse to the tenths place?

• It provides a more precise measurement

• It makes the number a whole number

• It simplifies the calculation

• It matches the precision of the given side lengths