### Home > INT3 > Chapter 2 > Lesson 2.1.2 > Problem2-24

2-24.

Calculate the distance between each pair of points.  Write your answers in both exact form and as decimal approximations.

Draw a right triangle with the hypotenuse segment connecting the given points. Recall the Pythagorean Theorem. Find the difference between the $x$- and $y$-coordinates, respectively. Square these values, add them, and find the square root of this value.

1. $(3, -6)$ and $(-2, 5)$

$\sqrt{146}\approx12.1 \text{ units}$

2. $(5, -8)$ and $(-3, 1)$

3. $(0, 5)$ and $(5, 0)$