Correct option is (D) 4, 5, 6
Sides of right triangle will follow Pythagoras theorem which is \((\text{Hypotenuse})^2=(\text{Base})^2+(\text{Altitude})^2\)
(A) \(\because\) \(3^2+4^2=9+16\)
\(=25=5^2\)
\(\therefore\) 3, 4 & 5 are sides of a right triangle.
(B) \(\because\) \(5^2+12^2=25+144\)
\(=169=13^2\)
\(\therefore\) 5, 12 & 13 are sides of a right triangle.
(C) \(\because\) \(7^2+24^2=49+576\)
\(=625=25^2\)
\(\therefore\) 7, 24 & 25 are sides of a right triangle.
(D) \(\because\) \(4^2+5^2=16+25\)
\(=41\neq36\)
\(\therefore\) \(4^2+5^2\neq6^2\)
\(\therefore\) Sides 4, 5 & 6 do not form a right triangle.