Use the Pythagorean Theorem to find the distance between points P and Q. Complete the equation to find c, the length of segment PQ. (Type whole numbers.) c² = (4)² + ( )².

To use the Pythagorean Theorem to find the distance between points P and Q, you need to follow the formula:

( c² = a² + b² )

In your case, you have ( a = 4 ). You need to find ( b ) (the length of the other leg) to complete the equation. Let’s assume the coordinates of points P and Q are such that one point is at (0, 0) and the other is at (4, b). Then we need to find ( b ).

The equation becomes:

( c² = (4)² + (b)² )

Without the specific coordinates for Q to provide a value for ( b ), we can denote it as any whole number depending on your coordinate system.

Let’s say, for example, ( b = 3 ):

Then:

( c² = (4)² + (3)² )

( c² = 16 + 9 )

( c² = 25 )

So, ( c = √25 = 5 ).

If you want to find a whole number for ( b ), just replace ( b ) in the equation with another whole number you have for the second point’s coordinates.

Feel free to let me know if you have any specific numbers for point Q!