Lesson: Geometry - 20

The 45°/45°/90° Isosceles Triangle

[Page 20 of 30]

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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