Again, we can use Pythagorean theorem to calculate the distance, but this time, I will show you the way of calculating the distance between two points only by knowing their coordinated, because in this case, we do know the coordinates of the house and of the hospital.
Adam's House, we will call it point A has the coordinates: A(x1, y1) = A(-4, 2)
Hospital, we will call it point H has the coordinates: A(x2, y2) = A(5, 7)
The formula for calculating the distance between these two points is:
Distance = square root of( (x2 - x1)^2 + (y2 - y1)^2 )
Distance = square root of( (5-(-4))^2 + (7 - 2)^2)
Distance = square root of(9^2+5^2)
Distance = square root of(81+25)
Distance = square root of 106
The correct answer is B.square root of 106
