### Home > A2C > Chapter 4 > Lesson 4.2.2 > Problem4-94

4-94.

Plot each pair of points and find the distance between them. Give answers in both square-root 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 $(−2,5)$

$\sqrt{146}\approx12.1$

1. $(5,−8)$ and $(−3,1)$

1. $(0,5)$ and $(5,0)$

1. Write the distance you found in part (c) in simplified square-root form.

Rewrite $\sqrt{50}\text{ as }\sqrt{25}\cdot\sqrt{2}$. Which factor can be simplified further?