Answer:
[tex]B)\ 6ft,8ft,12ft[/tex]
Step-by-step explanation:
Pythagorean Theorem : In a right triangle, square of hypotenuse is equal to the sum of the squares of the other sides.
[tex](A)\ 3cm,4cm,5cm\\5^2=25\\3^2+4^2=9+16=25\\5^2=3^2+4^2[/tex]
Hence these sides represent a right triangle.
[tex](B)\6ft.8ft,12ft\\12^2=144\\6^2+8^2=36+64=100\\12^2\not=6^2+8^2[/tex]
Hence this does not represent a right triangle.
[tex](C)\27cm,36cm,45cm\\45^2=2025\\27^2+36^2=729+1296=2025\\45^2=27^2+36^2[/tex]
This represents a right triangle.
