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
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.
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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!