### Home > CCA2 > Chapter 2 > Lesson 2.1.2 > Problem2-21

2-21.

Plot each pair of points and find the distance between them. Give answers in both square-root form and as decimal approximations. Homework Help ✎

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)

$\sqrt{146}\approx12.1$

2. (5, −8) and (−3, 1)

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

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

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