Answer:
{39, 52, 65}
Step-by-step explanation:
<u><em>The complete question is</em></u>
Which of the following sets of numbers could represent the three sides of a right triangle?
{44, 60, 75}
{30, 73, 78}
{37, 77,85}
{39, 52, 65}
we know that
The three sides of a right triangle must satisfy the Pythagorean Theorem
so

where
c is the greater side (the hypotenuse)
a and b are the legs (perpendicular sides)
<u><em>Verify each case</em></u>
case 1) we have
{44, 60, 75}
Let

substitute

----> is not true
so
The set of number could not represent the three sides of a right triangle
case 2) we have
{30, 73, 78}
Let

substitute

----> is not true
so
The set of number could not represent the three sides of a right triangle
case 3) we have
{37, 77,85}
Let

substitute

----> is not true
so
The set of number could not represent the three sides of a right triangle
case 4) we have
{39, 52, 65}
Let

substitute

----> is true
so
The set of number could represent the three sides of a right triangle