Question 1190057

let sides be {{{a}}}, {{{b}}}, and {{{c}}}

let the smallest side be {{{a}}}
if one side , let say {{{b}}}, of a triangle is twice the smallest side we have

{{{b=2a}}}......eq.1

if the third side is four feet more than the shortest side, we have

{{{c=a+4}}}........eq.2

if the perimeter is {{{16}}} feet, we have

{{{a+b+c=16}}}.........substitute {{{b}}} and {{{c}}} from eq.1 and eq.2

{{{a+2a+a+4=16}}}...........solve for {{{a}}}

{{{4a=16-4}}}

{{{4a=12}}}

{{{a=3}}}

go to

{{{b=2a}}}......eq.1...substitute {{{a}}}

{{{b=2*3}}}

{{{b=6}}}

go to

{{{c=a+4}}}........eq.2...substitute {{{a}}}

{{{c=3+4}}}

{{{c=7}}}

the lengths of all three sides (in feet): {{{a=3ft}}}, {{{b=6ft}}}, {{{c=7ft}}}