Question 934596
first find the distance between given points:

({{{-4}}},{{{5}}}) and ({{{-4}}},{{{-3}}})


*[invoke distance_formula -4, 5, -4, -3]


({{{-4}}},{{{5}}}) and ({{{2}}},{{{-3}}})


*[invoke distance_formula -4, 5, 2, -3]



({{{-4}}},{{{-3}}})and ({{{2}}},{{{-3}}})


*[invoke distance_formula -4, -3, 2, -3]


as you can see,

the distance between the two points ({{{-4}}}, {{{5}}}) and ({{{-4}}}, {{{-3}}}) is  exactly {{{8}}} units

the distance between the two points ({{{-4}}}, {{{5}}}) and ({{{2}}},{{{ -3}}}) is exactly {{{10}}} units

the distance between the two points ({{{-4}}},{{{ -3}}}) and ({{{2}}},{{{ -3}}}) is exactly {{{6}}} units


so, the length of the longest of the longest side is {{{10}}}