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Isosceles triangle : ウィキペディア英語版
Isosceles triangle

In geometry, an isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having two ''and only two'' sides of equal length, and sometimes as having ''at least'' two sides of equal length, the latter version thus including the equilateral triangle as a special case.
By the isosceles triangle theorem, the two angles opposite the equal sides are themselves equal, while if the third side is different then the third angle is different.
By the Steiner–Lehmus theorem, every triangle with two angle bisectors of equal length is isosceles.
==Terminology==
In an isosceles triangle that has exactly two equal sides, the equal sides are called legs and the third side is called the base. The angle included by the legs is called the ''vertex angle'' and the angles that have the base as one of their sides are called the ''base angles''.
Euclid defined an isosceles triangle as one having exactly two equal sides, but modern treatments prefer to define them as having at least two equal sides, making ''equilateral triangles'' (with three equal sides) a special case of isosceles triangles. In the equilateral triangle case, since all sides are equal, any side can be called the base, if needed, and the term leg is not generally used.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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