Question 1002900

The two equal sides of an isosceles triangle are given as {{{(x+2)cm}}} and the third is {{{(x+6)cm}}}. 

so, you have sides {{{a=(x+2)cm}}},{{{b=(x+2)cm}}}, {{{c=(x+6)cm}}}

if the perimeter of the triangle is {{{385cm}}},we have: 

since {{{a=(x+2)cm}}},{{{b=(x+2)cm}}}=>{{{a=b}}} and we can use {{{a=2(x+2)cm}}}

{{{2a+c=385cm}}}

{{{2(x+2)cm+(x+6)cm=385cm}}}.......cancel cm and solve for {{{x}}}

{{{2x+4+x+6=385}}}

{{{3x+10=385}}}

{{{3x=385-10}}}

{{{3x=375}}}

{{{x=375/3}}}

{{{x=125}}}

the value of {{{x}}} is {{{125}}}