Question

Which set of numbers could be the lengths of thesides of a right triangle?1) {10,24,26)2) {12, 16,303) {3,4,64) {4,7,8)

Answer 1

In order to know if a set of number are sides of a triangle right triangle we need to satisfy the Pythagorean theorem

$c^2=a^2+b^2$

where c is the bigger side and

For 1

{10,24,26}

c=26

a=10

b=24

$c^2=26^2=676$$a^2+b^2=10^2+24^2=676$

the results are equals so we have the lengths of the sides of a right triangle