Apply the Pythagorean theorem to find the length between the two points round your answer to the nearest tenth
To apply the Pythagorean theorem to find the length between two points, we need to determine the lengths of the two sides of a right triangle formed by the two points. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Let's say we have two points, A(x1, y1) and B(x2, y2). The length between these two points is the hypotenuse of a right triangle, with the two sides being the difference in x-coordinates (x2 - x1) and the difference in y-coordinates (y2 - y1).
So, the length between the two points is given by:
Length = √((x2 - x1)^2 + (y2 - y1)^2)
Round the final answer to the nearest tenth.