The rule of distance between two points

The video tutorial explains how to calculate the distance between two points on a coordinate plane using the Pythagorean theorem. It begins by introducing points A and B, and then forms a right angle triangle with an additional point C. The tutorial derives the distance formula by applying the Pythagorean theorem, explaining the calculation of the square of differences between the x and y coordinates. An example is provided to calculate the distance between two given points, A(2,3) and B(5,6), and verifies the result using the midpoint rule.

What do the points A and B represent in the context of the video?

• Two cars in a parking lot

• Two points on a coordinate plane

• Two cities on a globe

• Two random locations on a map

What is the purpose of introducing point C in the explanation?

• To find the midpoint of A and B

• To create a right angle triangle with A and B

• To form a square with A and B

• To measure the distance between A and C

How is the distance between two points A and B calculated using the Pythagorean theorem?

• By using the square root of the sum of the squares of the differences in coordinates

• By multiplying the coordinates of A and B

• By subtracting the coordinates of A from B

• By adding the coordinates of A and B

What is the formula for the distance between two points (x1, y1) and (x2, y2)?

• Square root of (x2 + x1)^2 + (y2 + y1)^2

• Square root of (x2 * x1)^2 + (y2 * y1)^2

• Square root of (x2 - x1)^2 + (y2 - y1)^2

• Square root of (x2 / x1)^2 + (y2 / y1)^2

What is the calculated distance between the points A(2, 3) and B(5, 6) using the distance formula?

• Square root of 12

• Square root of 25

• Square root of 18

• Square root of 9