Answer:
B and C
Step-by-step explanation:
The triple that is correct would be the one that follows the Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex] , where a is the shortest leg length, b is the other leg, and c is the longest side, or the hypotenuse.
Try A: [tex]5^2+8^2[/tex] =? [tex]9^2[/tex]
25 + 64 =? 81
89 =? 81
Clearly, these are not equal, so it is NOT A.
Try B: [tex]6^2+8^2[/tex] =? [tex]10^2[/tex]
36 + 64 =? 100
100 =? 100
Clearly, these are equal, so the answer is B.
Try C: [tex]5^2+7^2[/tex] =? [tex](\sqrt{74} )^2[/tex]
25 + 49 =? 74
74 =? 74
Clearly, these are equal, so the answer is also C.
Thus, the answers are B and C.
Hope this helps!
