三角形三边之间的关系是大家是非常熟悉的性质,即“任意两边之和大于第三边,任意两边之差小于第三边”.其实任意三角形的三条高之间的长度关系也有着密切的联系.设三角形三条边分别是a、b、c,对应边上的高分别为ha、hb、hc.不失一般性,令a≥b≥c,由面积关系aha=bhb=chc,知 The relationship between the three sides of the triangle is a very familiar property, that is, “the sum of any two sides is greater than the third side, and the difference between any two sides is less than the third.” In fact, the length relationship between any three triangles of any triangle A, b, c, the corresponding edge of the high were ha, hb, hc. Without loss of generality, so that a ≥ b ≥ c, the area by the relationship aha = bhb = chc ,know