Question 1112845
right triangle ABC, angle C=90, c=3, and {{{ (a+b)^2=17 }}}.

{{{ (a+b)^2=17 }}}

{{{a^2+b^2 = (a+b)^2-2ab}}}

{{{a^2+b^2=c^2}}} by Pythagoras theorem

{{{9= 17-2ab}}}

2ab=8
ab=4

1/2 ab =area of triangle 

=2 unit^2