Question 823463
The sides are 9, 9*r, and 9*r^2.
{{{9+9r+9r^2=37}}}
'
{{{9r+9r^2=28}}}
{{{9r^2+9r-28=0}}}
{{{r=(-9+sqrt(81-4(9)(-28)))/(2*9)}}} to use the PLUS square root.
{{{r=(-9+sqrt(1089))/(2*9)}}}
{{{r=(-9+33)/18}}}
{{{r=24/18=12/9=highlight_green(4/3)}}}, the ratio for the geometric sequence of sides.


The other two side lengths are 9(4/3) and 9(16/9);
or
12 and 16.