Question

A triangle has two sides of length 5 and 12. what value could the length of the third side be? More then one can be correct.

Answer 1

$Condition\ for\ existing\ triangle\\\\ a,b,c- sides\ of\ triangle\\\\ a+b>c\\a+c>b\\b+c>a\\ 5+12=17\\\\ a)\ 712 \ , 7+12>5 \\ b)\ 512\\c)19\not5 \\\Third \side\ can\ be\ a,e,f$