Question 830076
As given, the triangles are similar, so their corresponding sides are in proportion.  You are given the ratio between the sides.  


2:3 = 3:x_____________2:3 = 6:y_____________2:3 = 8:z


Can you choose the next set of steps?  


You can also represent those three proportions in rational form:

{{{2/3=3/x}}}
OR
{{{3/2=x/3}}}
These are for the first proportion, for the 3m side of the small triangle to get the corresponding side length on the larger triangle.
Solve for x.


Then, {{{3/2=y/6}}} and solve for y.
{{{(3/2)6=y}}}
{{{y=9}}}


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