The image you uploaded shows a diagram with two points, Point A and Point B, connected by a path consisting of two right-angled segments. The lengths of these segments are given as follows:

• The horizontal segment between Point A and the top right corner has a length of 3.143 units.
• The vertical segment between Point B and the bottom left corner has a length of 5.344 units.
• The vertical distance from the top right corner down to Point A is 2.13 units.

The problem likely involves finding the direct distance between Point A and Point B or another related calculation involving these points.

Steps to solve:

1. Horizontal Distance Calculation: The total horizontal distance between Point A and Point B can be calculated as the length of the given horizontal segment.

2. Vertical Distance Calculation: The total vertical distance between Point A and Point B can be calculated by adding the vertical distances (2.13 units from Point A to the top, and 5.344 units from the top to Point B).

3. Using the Pythagorean Theorem: The direct distance $d$ between Points A and B can be found using the Pythagorean theorem: $d = \sqrt{(\text{horizontal distance})^2 + (\text{vertical distance})^2}$

Let's perform the calculation:

1. Horizontal distance: $3.143 \, \text{units}$
2. Vertical distance: $2.13 + 5.344 = 7.474 \, \text{units}$

Now, calculate the direct distance $d$:

$d = \sqrt{(3.143)^2 + (7.474)^2}$

Let me compute this.The direct distance between Point A and Point B is approximately 8.108 units.

Would you like further details on this calculation, or do you have any other questions? Here are some related questions you might consider:

1. How would the distance change if the horizontal or vertical distances were different?
2. What is the significance of the Pythagorean theorem in real-world applications?
3. How would you calculate the midpoint between Point A and Point B?
4. Can you determine the slope of the line connecting Points A and B?
5. What is the area of the right triangle formed by these points?

Tip: When dealing with problems involving distances in a plane, it's often helpful to sketch the scenario and use the Pythagorean theorem for accuracy.