△=(c²-a²-b²)²-4a²b²
=(c²-a²+2ab-b²)(c²-a²-2ab-b²)
=[c²-(a²-2ab+b²)][c²-(a²+2ab+b²)]
=[c²-(a-b)²][c²-(a+b)²]
=(c+a-b)(c-a+b)(c-a-b)c+a+b)
三角形两边之和大于第三边
所以c+a-b>0
c-a+b>0
a
△=(c²-a²-b²)²-4a²b²
=(c²-a²+2ab-b²)(c²-a²-2ab-b²)
=[c²-(a²-2ab+b²)][c²-(a²+2ab+b²)]
=[c²-(a-b)²][c²-(a+b)²]
=(c+a-b)(c-a+b)(c-a-b)c+a+b)
三角形两边之和大于第三边
所以c+a-b>0
c-a+b>0
a