Question 732610
Because the angle opposite the 16 in side
must be greater than 90 degrees for the
triangle to be obtuse.
For now, call the 16 in side {{{ x }}}
If the opposite angle was exactly 90 degrees, then
{{{ 10^2 + 12^2 = x^2 }}}
{{{ 100 + 144 = x^2 }}}
{{{ x^2 = 244 }}}
{{{ x = sqrt( 244 ) }}}
{{{ x = 15.62 }}}
This is less than {{{ 16 }}}, so the angle opposite
the {{{ 16 }}} in side must be greater than 90 degrees