Estimating Square Roots and Geometry

The video covers Math 8 Unit 8 Lesson 10, focusing on applications of the Pythagorean Theorem. It begins with estimating square roots and progresses to activities like racing across a field and calculating diagonals in rectangular prisms. The lesson concludes with practical applications and homework problems, emphasizing the theorem's utility in solving real-world problems involving right triangles.

Which of the following is closest to the square root of 24?

• 4

• 4.5

• 5

• 5.5

If the square root of 7 is estimated, which value is it closest to?

• 3

• 2.5

• 3.5

• 2

In the race scenario, who travels a shorter distance?

• Cannot be determined

• Both travel the same distance

• Tyler across the field

• May on the sidewalk

How long does it take May to complete the race?

• 26 seconds

• 20 seconds

• 22 seconds

• 24 seconds

What is the approximate length of the diagonal in a rectangular prism with sides 4, 5, and 6?

• Square root of 77

• Square root of 41

• Square root of 75

• Square root of 50

Which of the following is a correct application of the Pythagorean Theorem?

• Finding the area of a circle

• Calculating the diagonal of a rectangle

• Determining the volume of a cube

• Measuring the perimeter of a triangle

What is the estimated square root of 20?

• 5

• 4.5

• 4

• 5.5

In the homework problem, what is the length of the brace needed to secure the door?

• Square root of 30

• Square root of 20

• Square root of 16

• Square root of 25

Which statement is true about the tray and trash can scenario?

• The tray fits diagonally

• The tray is too large

• The tray is too small

• The tray fits perfectly

How many times larger is 12 times 10^9 compared to 4 times 10^9?

• 5 times

• 4 times

• 3 times

• 2 times