Question 978089
if one leg ({{{a}}}) in a 45°-45° right triangle has a length of {{{8}}}, than the other leg ({{{b}}}) has a length of {{{8}}} too because it’s an isosceles triangle (both legs have the same length)

so, the length of a hypotenuse {{{c}}} is:

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

{{{c^2=8^2+8^2}}}

{{{c^2=64+64}}}

{{{c^2=2*64}}}

{{{c=sqrt(2*64)}}}

{{{c=8*sqrt(2)}}}=>the length of a hypotenuse