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三角形ABC的顶角A、B、C的对边分别为a、b、c,则它们之间存在着两个基本性质:(1)三角形中任意两边之和大于第三边(或任意两边之差小于第三边),即|a-b|c~2时,∠90°,a~2+b~2=c~2时,∠C=90°;a~2+b~290°,这两个基本性质在解题中有着重要的作用.分类例举如下.
The opposite sides of the top corners A, B, and C of the triangle ABC are respectively a, b, and c, and there are two basic properties between them: (1) The sum of any two sides of the triangle is greater than the third side (or any two sides The difference is smaller than the third side), ie, ab|c~2, ∠90°, a~2+b~2=c~2 When ∠C=90°; a~2+b~290°, these two basic properties play an important role in solving problems. The classification examples are as follows.