The correct options are
A √5,3,√14
C 3√2,4√2,5√2
D 2√3,2√2,2√5
If in a triangle, the square of the longest side equals the sum of the squares of the other two sides, then the triangle is right-angled.
(√5)2+32=5+9=14=(√14)2
Thus, the lengths √5,3 and √14 form a right-triangle.
Similarly, (3√2)2+(4√2)2=18+32=50=(5√2)2
shows that the lengths 3√2,4√2 and 5√2 form the sides of a right-angled triangle.
Similarly, (2√3)2+(2√2)2=12+8=20=(2√5)2 shows that the lengths 2√3,2√2 and 2√5 form the sides of a right-angled triangle.
But, 62+(2√3)2=36+12=48≠64=82)
Thus, 6,2√3 and 8 would not form a right triangle.