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.

a.7
b.5
c.19
d.17
e.11
f.9

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)\ 7<5+12,\ 5+7>12 \ , 7+12>5 \\ b)\ 5<5+12,\ \ 5+5\\ot>12\\c)19\\ot<5+12\\d)17\\ot<5+12\\e)11<12+5,\ \ 11+5>12,\ 11+12>5 \\f)9<12+5,\ \9+5>12\ \ 12+9>5 \\\Third \side\ can\ be\ a,e,f`