Question

In each case, determine if the sides form a right triangle. If they do, place in the Yes column. If not, place them in the No column.

Answer 1

Use the Pythagorean Theorem to determine if the sides form right triangle or not.
a^2+b^2=c^2

3,4,5
3^2+4^2=5^2
9+16=25
25=25
Yes

5,12,13
5^2+12^12=13^2
25+144=169
169=169
Yes

6,8,10
6^2+8^2=10^2
36+64=100
100=100
Yes

6,9,12
6^2+9^2=12^2
36+81=144
117=144
No

8,13,26
8^2+13^2=26^2
64+169=676
233=676
No

8,15,17
8^2+15^2=17^2
64+225=289
289=289
Yes

9,12,14
9^2+12^2=14^2
81+144=196
221=166
No

5/2,6,13/2
(5/2)^2+6^2=(13/2)^2
25/4+36=169/4
25/4+144/4=169/4
169/4=169/4
Yes