问题 填空题
若a,b为有理数,且
9
+
27
+
12
=a+b
3
,则以a,b为两条直角边的直角三角形的斜边长c=______.
答案

9
+
27
+
12
=3+3
3
+2
3
=3+5
3
=a+b
3

∴a=3,b=5,

则以a,b为两条直角边的直角三角形的斜边长c=

32+52
=
34

故答案为:

34

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