45-45-90 triangle

The title of this article has been romanized due to technical restrictions. The correct title should be $45^{\circ}-45^{\circ}-90^{\circ}$ triangle.

A 45-45-90 triangle is a triangle with 2 angles measuring $45^{\circ}$ and one angle measuring $90^{\circ}$ . The legs of any such triangle are congruent while the hypotenuse is $\sqrt2$ times the length of the legs. It is also important in geometry when the pythagorean theorem is involved.

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45-45-90 triangle