问题
填空题
若△ABC的三边的长AB=5,BC=2a+1,AC=3a-1,则a的取值范围为______.
答案
∵△ABC的三边的长AB=5,BC=2a+1,AC=3a-1,
∴①(3a-1)+(2a+1)>5,②(3a-1)-(2a+1)<5;
∴1<a<7.
若△ABC的三边的长AB=5,BC=2a+1,AC=3a-1,则a的取值范围为______.
∵△ABC的三边的长AB=5,BC=2a+1,AC=3a-1,
∴①(3a-1)+(2a+1)>5,②(3a-1)-(2a+1)<5;
∴1<a<7.