Question

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

Answer 1

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 $a^{2} + b^{2} = c^{2}$ So $39^{2}$ is 1521 and $80^{2}$ is 6400. 1521+6400= 7921. So thats the $a^{2} + b^{2}$ part and then 7921 has to be equal to  $c^{2}$  and $89^{2}$ is 7921. 7921 is equal to 7921 and therefore $a^{2} + b^{2}= c^{2}$ and it forms a right triangle.