Algebra 1: I need your expertise.?

Question

Please help me with these. Whatever way you can help me is fine.

Link: http://www.learningbygrace.org/alg1/images/alg1_15_test.gif

13: In Figure 1, if AC = 5 and BC = 12, what is the length of AB in simplified form?
13
13√1
11

14: In Figure 1, if AB = 12 and BC = 10, what is the length of AC in simplified form?
3√11
2√11
2√12

15: In Figure 1, if AC = 8 and AB = 14, what is the length of BC in simplified form?
2√23
3√33
2√33

16: In Figure 1, if AC = 6 sqrt(2) and BC = 6 sqrt(2), what is the length of AB in simplified form?
12
13
2√12

17: In Figure 2, what is the distance between points A and J?
√86
√89
2√17

18: In Figure 2, what is the distance between points D and B?
2√10
2√11
3√10

19: In Figure 2, what is the distance between points H and E?
2√10
2√5
3√5

20: In Figure 2, what is the distance between points J and I?
26
2√13
√26

Please and thank you.

Answer 1

13 - 16
Use pythagorean theorem.
(AB)^2 = (AC)^2 + (BC)^2

17 - 20:
Find the coordinates of each point, then use the distance formula:
if your two points are (a, b) and (c, d)
distance = sqrt [(a - c)^2 + (b - d)^2]

Answer 2

use pisagor relation for figure 1

Answer 3

umm i don't think i can