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 between points P and Q using the Pythagorean Theorem, we can use the formula:

[ c² = a² + b² ]

In your case, you already have one side of the triangle (let’s say ( a = 7 )), and you need to find ( b ).

You didn’t specify the other side, so let’s assume you know the coordinates of points P and Q or have a value for ( b ). For example, if ( b = 24 ), the equation will become:

[ c² = (7)² + (24)² ]

[ c² = 49 + 576 ]

[ c² = 625 ]

[ c = sqrt{625} ]

[ c = 25 ]

So, if ( b ) is 24, then the length of segment PQ is 25. If you meant a different value for the second side, you would plug that value into the equation and follow the same steps.

Let me know if you have a specific value for ( b ) you’d like to use!