Question

Apply the Pythagorean theorem to find the link between the two points round your answer to the nearest hundredth

Answer 1

To apply the Pythagorean theorem to find the link between two points, we need the coordinates of these points. Let's assume we have two points, A and B, in a two-dimensional Cartesian coordinate system. The coordinates of point A can be represented as (x1, y1), and the coordinates of point B can be represented as (x2, y2).

The Pythagorean theorem states that in a right-angled 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.

Using this principle, we can apply the Pythagorean theorem to find the distance between points A and B, which can be considered as the hypotenuse of a right-angled triangle. The lengths of the other two sides will be the differences in the x-coordinates (x2 - x1) and y-coordinates (y2 - y1) of the points.

Thus, using the Pythagorean theorem formula:

Distance = √[(x2 - x1)^2 + (y2 - y1)^2]

After calculating the value of the expression within the square root, we can round the answer to the nearest hundredth as requested.