Application of Similar Triangles
30-60-90 Triangle Side Ratios
1. Find the ratios between the three sides of any triangle.
[Figure 4]
The three sides of any 30-60-90 triangle will be in this ratio: .
2. Find the missing sides of the triangle below.
[Figure 5]
The side opposite the angle is the smallest side because
is the smallest angle. Therefore, the length of
corresponds to the length of
in the ratio
. The scale factor is
. The other sides of the triangle will be
and
, because
is equivalent to
.
and
.