apply the Pythagorean theorem to find length between the two points. round your answer to the nearest hundredth, if necessary.
To apply the Pythagorean theorem to find the length between two points, we need to know the coordinates of the two points in a two-dimensional space.
Let's say we have two points A and B with coordinates (x1, y1) and (x2, y2) respectively.
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.
In this case, we can consider the line segment between points A and B as the hypotenuse of a right-angled triangle. The length of this line segment can be calculated using the Pythagorean theorem.
The formula to find the distance between two points using the Pythagorean theorem is:
Distance = square root of [ (x2 - x1)^2 + (y2 - y1)^2 ]
To apply this formula:
1. Determine the coordinates of the two points. Let's call them (x1, y1) and (x2, y2).
2. Calculate (x2 - x1)^2.
3. Calculate (y2 - y1)^2.
4. Add the results of step 2 and step 3.
5. Take the square root of the sum obtained in step 4.
6. Round the answer to the nearest hundredth, if necessary.
By following these steps, you will be able to apply the Pythagorean theorem and find the length between the two points accurately.