To find the length between point A (2, -3) and point B (5, 5) using the Pythagorean theorem, we need to find the length of the hypotenuse of the right triangle formed by the two points.
The horizontal distance between the points (the difference in x-coordinates) is 5 - 2 = 3.
The vertical distance between the points (the difference in y-coordinates) is 5 - (-3) = 8.
Using the Pythagorean theorem, we can calculate the length of the hypotenuse (the distance between the points) as follows:
hypotenuse = sqrt((horizontal distance)^2 + (vertical distance)^2)
= sqrt(3^2 + 8^2)
= sqrt(9 + 64)
= sqrt(73)
Rounded to the nearest hundredth, the length between the two points is approximately 8.54.
Use the image to answer the question.
A graph shows four quadrants with the x-axis and y-axis both ranging from negative 5 to positive 5 in increments of 1. Data points marked are point A at left parenthesis 2 comma negative 3 right parenthesis, and point B at left parenthesis 5 comma 5 right parenthesis.
Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth, if necessary.
(1 point)
Responses
11
11
8.54
8.54
7.62
7.62
73
1 answer
1 answer