CPM Homework Help : CCA2 Problem 2-21

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

Hint:

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.

$(3,−6)$ and $(−2,5)$
Answer (a):
$\sqrt{146}\approx12.1$

$(5,−8)$ and $(−3,1)$

$(0,5)$ and $(5,0)$

Write the distance you found in part (c) in simplified square-root form.
Hint (d):
Rewrite $\sqrt{50}\text{ as }\sqrt{25}\cdot\sqrt{2}$ . Which factor can be simplified further?