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

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

answer: you will have more water.