Triangles with interior degree measurements of 45°/45°/90°
appear regularly on standardized tests. Sometimes they are presented as
part of a problem. At other times, you will encounter isosceles right
triangles as you work through a solution. For instance, in working with
a square, you may need to divide it into two isosceles triangles. No matter
where you see them, all isosceles right triangles, such as the one we
saw in the previous problem, are 45°/45°/90° triangles.
A 45°/45°/90° triangle
is another special right triangle. Its sides are always in the proportion
X : X : X√2, where
the hypotenuse is equivalent to X√2.
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