Which side lengths given below can form a right triangle

12,13,17

3.2,5.6,6.4

14,20,24

10,24,26

If a triangle is a right triangle

and if the legs measure a and b and the hyptonuse measures c, then

a²+b²=c²

test them

12,13,17

hypothuse is longest side so 17=c

12²+13²=17²?

144+169=289?

nope

3.2,5.6, 6.4

6.4=c

3.2²+5.6²=6.4²?

10.24+31.36=40.96?

nope

14,20,24

24 is longest so 24=c

14²+20²=24²?

196+400=576?

nope

10,24,26

26 is hyptohuse

10²+24²=26²?

100+576=676?

true

answer is 10,24,26