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单词 Triangle inequality
释义

Triangle inequality

中文百科

三角不等式

在三角形中，两条边的长度之和总是大于或等于第三边。
Desigualdad del triángulo.
Three examples of the triangle inequality for triangles with sides of lengths x, y, z. The top example shows a case where z is much less than the sum x + y of the other two sides, and the bottom example shows a case where the side z is only slightly less than x + y.
Euclid's construction for proof of the triangle inequality for plane geometry.

三角不等式是数学上的一个不等式，表示从B到A再到C的距离永不少于从B到C的距离；亦可以说是两项独立对象的量之和不少于其和的量。它除了适用于三角形之外，还适用于其他数学范畴及日常生活中。

英语百科

Triangle inequality 三角不等式

Three examples of the triangle inequality for triangles with sides of lengths x, y, z. The top example shows a case where z is much less than the sum x + y of the other two sides, and the bottom example shows a case where the side z is only slightly less than x + y.
Euclid's construction for proof of the triangle inequality for plane geometry.
Isosceles triangle with equal sides AB = AC divided into two right triangles by an altitude drawn from one of the two base angles.
Triangle inequality for norms of vectors.

In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side. If x, y, and z are the lengths of the sides of the triangle, with no side being greater than z, then the triangle inequality states that
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更新时间：2025/6/17 19:32:52