Distance Between Two Points Using the Pythagorean Theorem

The video tutorial teaches how to find the distance between two points using the Pythagorean theorem. It begins with an introduction to the concept, followed by two examples demonstrating the calculation of the hypotenuse of a right triangle formed by two points. The instructor emphasizes the importance of rounding the result to one decimal place. The tutorial concludes with a practice exercise for viewers to try on their own.

What theorem is used to find the distance between two points?

• Binomial theorem

• Fundamental theorem of calculus

• Pythagorean theorem

• Euclidean algorithm

What shape is created between two points to use the Pythagorean theorem?

• Rectangle

• Circle

• Right triangle

• Square

If the sides of a right triangle are 5 and 3, what is the hypotenuse?

• 8.1

• 7.2

• 5.8

• 6.4

What is the sum of the squares of the sides 5 and 3?

• 9

• 16

• 34

• 25

What is the approximate value of the hypotenuse when the sides are 4 and 4?

• 6.1

• 5.7

• 5.9

• 6.3

What is the sum of the squares of the sides 4 and 4?

• 16

• 24

• 32

• 8

When rounding 5.65 to one decimal place, what is the result?

• 5.7

• 5.6

• 5.8

• 5.9

What is the hypotenuse when the sides are 7 and 1?

• 7.4

• 7.3

• 7.2

• 7.1

What is the square root of 50 rounded to one decimal place?

• 7.2

• 7.1

• 7.3

• 7.0

What should you do if the square root is not a perfect square?

• Leave it as is

• Round to the nearest whole number

• Round to two decimal places

• Round to one decimal place