There are 2 similar triangles.
one small triangle and a larger one.
The small one has sides that are 15, 20, and 25.
on the big one in the same order, 24, y, and x.
How do I find x and y?
the triangles are similar, thus their side lengths are proportional. that is, for instance:
$\displaystyle \frac {\mbox{The longest side of the small triangle}}{\mbox{The shortest side of the small triangle}} = \frac {\mbox{The longest side of the large triangle}}{\mbox{The shortest side of the large triangle}}$
and
$\displaystyle \frac {\mbox{The middle side of the small triangle}}{\mbox{The shortest side of the small triangle}} = \frac {\mbox{The middle side of the large triangle}}{\mbox{The shortest side of the large triangle}}$