Respuesta :

Answer:

y = 12

Step-by-step explanation:

The segments are equal in length, SR = TR, so set up an equation:

[tex]\frac{y^2}{12}=y[/tex]

Multiply by 12.

[tex]y^2=12y\\y^2-12y=0[/tex]

Factor out the y on the left side.

[tex]y(y-12)=0[/tex]

There are two solutions:  y = 0 and y = 12.  The y = 0 solution makes no sence (segment SR can't have a length of 0).  The other solution, y = 12, works just fine.