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A triangle whose two sides are equally long. An isosceles triangle is a special case of an equilateral triangle, which has all three sides equal in length.
- The word isosceles comes from Greek ἴσος (isós) meaning equal, and σκελετός (skeletós) meaning leg. It can be seen as two congruent triangles joined at their vertices. Isosceles triangles are so named because they can be made by cutting a triangle out of a larger one with only one side left intact.
- In an isosceles triangle that has sides of length a and b, where a > b > 0, ab = ba. That is, the area of such a triangle is half of its base times its height.
- The area T(b) and perimeter P(b) are given by: T(b) = bh = 1⁄2ab,
P(b) = 2ab.
- The base angles of an isosceles triangle each measure 90°. In Euclidean geometry, two triangles that have two sides of equal length are both isosceles.
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