Question

△ABC的三边长分别为a,b,c,并且a>b>c,a,b,c都是正整数,满足条件1/a+1/b+1/c=1,判断△ABC

Answer 1

因为a>b>c,a,b,c都是正整数

所以c的最小值是1

(1)当c=1时 1/a+1/b+1/c>1

(2)当c=2,b=3,a=4时,1/a+1/b+1/c=13/12>1

当c=2,b=3,a=5时,1/a+1/b+1/c=31/30>1

当c=2,b=3,a=6时,1/a+1/b+1/c=1,但2=3