Question 803898

If two sides of a triangle are equal to {{{a=3}}} and {{{b=7}}}, then the length of the third side {{{c}}} must be {{{less}}} than {{{a+b=3+7=10}}}, or {{{c<10}}}

also {{{a<7+c}}}}, and {{{b<3+c}}} as well

if we say that {{{c=4}}}, then {{{a<7+4=11}}}}=>{{{3<11}}} which is true,  {{{b<3+4}}}=>{{{7<7}}} which is {{{NOT}}} true, even {{{c<10}}}=>{{{4<10}}} is also true

if we say that {{{c=7}}}, then {{{a<7+7=14}}}}=>{{{3<14}}} which is true,  {{{b<3+7}}}=>{{{7<10}}} which is true, and {{{c<10}}}=>{{{7<10}}} is also true

if we say that {{{c=9}}}, then {{{a<7+9=16}}}}=>{{{3<16}}} which is true,  {{{b<3+9}}}=>{{{7<12}}} which is true, and {{{c<10}}}=>{{{9<10}}} is also true

if we say that {{{c=8}}}, then {{{a<7+8=15}}}}=>{{{3<15}}} which is true,  {{{b<3+8}}}=>{{{7<11}}} which is true, and {{{c<10}}}=>{{{8<10}}} is also true

if we say that {{{c=5}}}, then {{{a<7+5=12}}}}=>{{{3<12}}} which is true,  {{{b<3+5}}}=>{{{7<8}}} which is true, and {{{c<10}}}=>{{{5<10}}} is also true

so, your answer is A. {{{4}}}