Which of the following sets of numbers could represent the three sides of a right triangle?

{39, 52, 65}

Step-by-step explanation:

The complete question is

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)

Verify each case

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

step-by-step explanation: