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.
