Which set of three sides can be used to make a right triangle. Please show work !

Answer:
D. 39, 80,89
Step-by-step explanation: In order for the side lengths to make a right triangle, they have to satisfy the phythagorean therom [tex]a^{2} + b^{2} = c^{2}[/tex] So [tex]39^{2}[/tex] is 1521 and [tex]80^{2}[/tex] is 6400. 1521+6400= 7921. So thats the [tex]a^{2} + b^{2}[/tex] part and then 7921 has to be equal to [tex]c^{2}[/tex] and [tex]89^{2}[/tex] is 7921. 7921 is equal to 7921 and therefore [tex]a^{2} + b^{2}= c^{2}[/tex] and it forms a right triangle.