A 30 60 90 triangle is a special type of right triangle. What is
special about 30 60 90 triangles is that the sides of the 30 60
90 triangle always have the same ratio. Therefore, if we are
given one side we are able to easily find the other sides using
the ratio of 1:2:square root of three. This special type of
right triangle is similar to the 45 45 90 triangle. There are
two special array triangles, 45, 45, 90 and 30, 60, 90
triangles. Now what's special about this 30, 60, 90. triangle is
that of the three sides that. are all going to be different, I
only need to know one, and I can find the other two. So that's
pretty amazing, that of the three sides of a triangle, when it's
a 30-degree, a 60-degree and a 90-degree, I only need to know
one side and I can find the other ones. So the shortcut, and
again this is based on the Pythagorean theorem, is to find your
longer leg Now how do I know that. this is my longer leg. Well,
if I look at my angle measures, 30 degrees is my smallest
measure, which means the sid