Question

Find the distance between point A(5, 3) and B(14, 17). Round your answer to the nearest tenth

Answer 1

To find the distance between two points in a coordinate plane, we can use the distance formula. The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Where (x1, y1) and (x2, y2) are the coordinates of the two points.

Given that A(5, 3) and B(14, 17), we can substitute these values into the distance formula:

d = sqrt((14 - 5)^2 + (17 - 3)^2)

Simplifying:

d = sqrt(9^2 + 14^2)

d = sqrt(81 + 196)

d = sqrt(277)

Using a calculator, we find that the square root of 277 is approximately 16.6

Therefore, the distance between point A(5, 3) and B(14, 17) is approximately 16.6 units when rounded to the nearest tenth.