ΔABC的边长分别是a=m²-1,b=m²+1,c=2m(m>1),则△ABC是( )三角形
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![ΔABC的边长分别是a=m²-1,b=m²+1,c=2m(m>1),则△ABC是( )三角形](/uploads/image/z/4031918-62-8.jpg?t=%CE%94ABC%E7%9A%84%E8%BE%B9%E9%95%BF%E5%88%86%E5%88%AB%E6%98%AFa%EF%BC%9Dm%26%23178%3B%EF%BC%8D1%2Cb%EF%BC%9Dm%26%23178%3B%EF%BC%8B1%2Cc%EF%BC%9D2m%28m%EF%BC%9E1%29%2C%E5%88%99%E2%96%B3ABC%E6%98%AF%EF%BC%88+%EF%BC%89%E4%B8%89%E8%A7%92%E5%BD%A2)
ΔABC的边长分别是a=m²-1,b=m²+1,c=2m(m>1),则△ABC是( )三角形
ΔABC的边长分别是a=m²-1,b=m²+1,c=2m(m>1),则△ABC是( )三角形
ΔABC的边长分别是a=m²-1,b=m²+1,c=2m(m>1),则△ABC是( )三角形
a=m²-1,b=m²+1,c=2m
那么a²=(m²-1)²=m^4-2m²+1
b²=(m²+1)²=m^4+2m²+1
c²=(2m)²=4m²
所以a²+c²=b²
所以△ABC是直角三角形,∠B是直角