To find the legs and hypotenuse of the right triangle formed by the points $(-7, 4)$ and $(-4, -1)$, we can follow these steps:

1. Leg 1 (Horizontal Distance): The horizontal distance is the difference in the x-coordinates of the two points. This forms one leg of the right triangle. $\text{Leg 1} = |x_2 - x_1| = |-4 - (-7)| = |-4 + 7| = 3$

2. Leg 2 (Vertical Distance): The vertical distance is the difference in the y-coordinates of the two points. This forms the other leg of the right triangle. $\text{Leg 2} = |y_2 - y_1| = |-1 - 4| = |-5| = 5$

3. Hypotenuse (Distance between the two points): The hypotenuse is the distance between the two points, which can be found using the Pythagorean theorem: $d = \sqrt{(\text{Leg 1})^2 + (\text{Leg 2})^2} = \sqrt{3^2 + 5^2} = \sqrt{9 + 25} = \sqrt{34} \approx 5.83$

Thus, the two legs of the triangle are 3 and 5, and the distance (hypotenuse) is approximately 5.83 units.

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Here are some related questions:

1. How can we determine the midpoint of a line segment between two points?
2. What is the formula for finding the slope of a line given two points?
3. How do you use the distance formula in 3D geometry?
4. What are the properties of a right triangle in terms of angles?
5. How can you calculate the area of a triangle given its base and height?

Tip: Always visualize the points on a graph if possible. This can help you better understand the geometry and distances involved.