Question 1155495


your triangle is right triangle with congruent legs because both acute angles are equal

hypothenuse is {{{c=12}}}

legs {{{a=b}}}

using Pythagorean theorem we have:

{{{c^2=a^2+a^2}}}

{{{12^2=2a^2}}}

{{{144=2a^2}}}

{{{a^2=144/2}}}

{{{a^2=72}}}

{{{a=sqrt(72)}}}

{{{a=6sqrt(2)}}}=>{{{b=6sqrt(2)}}}