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Use Pythagoras' theorem:

1-  (6/10)^2 + (8/10)^2 = 1^2

        0.36    +    0.64    = 1

                    1              = 1 - Yes, this one is a right triangle

2)  7^2  +  7^2 = 13^2

      49   +   49 = 169

             98      = 169 - No, this one is not a right tiangle.

3)  (3/13)^2  + (4/13)^2 = (5/13)^2

      0.053254 + 0.094675 = 0.1479289

              0.1479289          =0.1479289 - Yes, this one is a right triangle.

Right angle =a^2+b^2=c^2

1) (6/10)^2+(8/10)^2=(1)^2

solve: 9/25+16/25=1

1=1

Yes, this is a right triangle.

2) (7)^2+(7)^2=(13)^2

Solve: 14+14=169

28=169

No, this is not a right triangle 

3) (3/13)^2 + (4/13)^2 = (5/13)^2
9/169 + 16/169 = 25/169
25/169 = 25/169

Yes. It is a right triangle

Answer) 1 and 3