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 = (7)² + ()².

To find the distance ( c ) between points ( P ) and ( Q ) using the Pythagorean Theorem, we need to have the lengths of both legs of the right triangle formed by these points. You’ve provided one leg as ( 7 ).

The Pythagorean Theorem states that:

[ c^2 = a^2 + b^2 ]

In your equation, ( c^2 = (7)^2 + (b)^2 ). To find ( c ), we need the length of the second leg, ( b ). If we assume ( b ) is a whole number, you can plug in that value.

For example:

If ( b = 5 ):

[ c^2 = (7)^2 + (5)^2 ]

[ c^2 = 49 + 25 ]

[ c^2 = 74 ]

[ c = sqrt{74} approx 8.6 ] (rounded).

Please provide the value for the second leg ( b ) if you need a specific calculation. If you have any further questions, feel free to ask!