Question

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

Answer 1

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