Question 897225
Type of triangle is 45-45-90.
This is half of a square shape, cut along a diagonal.  
Your side labeled {{{2sqrt(2)}}} is the hypotenuse of the triangle, as well as the diagonal length of the square shape from which came this triangle.


The lengths a and b are equal; and you can use Pythagorean Theorem to find their values.


{{{a^2+b^2=(2sqrt(2))^2}}}
{{{a^2+a^2=4*2}}}
{{{2a^2=4*2}}}
{{{a^2=4}}}
{{{a=2}}} and {{{b=2}}}