Page 176 - Math Course 2 (Book 1)

Radical Expressions: The Distance Formula

Find the distance between each pair of points with the
Skill Practice! given coordinates. Express answers in simplest radical
form and as decimal approximations rounded to the
nearest hundredth if necessary

1. (9, 7), (1, 1) 2. (5, 2), (8, –2)

3. (1,– 3), (1, 4) 4. (7, 2), (–5, 7)

5. (– 6, 3), (10, 3) 6. (3, 3), (–2, 3)

7. (–1, –4), (–6, 0) 8. (–2, 4), (5, 8)

9. (–3, 4), (–2, 8) 10. (5, –6), (7, –9)

Find the possible values of a if the points with the given coordinates are the indicated distance apart.

11. (–2, –5), (a, 7); d = 13 12. (8, –2), (5, a); d = 3

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