1. x= (x1 + x2)/2
x= (20+180)/2
x= 100
y= (y1 + y2)/2
y= (40 + 120)/2
y= 80
Coordinate of the coffee shop is (100, 80).
2. For distance: √[(x1 - x2)² + (y1 + y2)²]
√[(20-180)²+(40-120)²]
√[(-160)²+(-80)²]
√(25600+6400)
√(32,000)
√[(40²)(2²)(5)]
80√5 units
One unit = 3 meters
Real distance = (3 meters)(80√5)
The distance between the two buildings are 240√5 meters.
3. Since the coffee shop is midway and the distance between two buildings is 240√5 meters, the coffee shop is (240√5)/2 = 120√5 meters from both the building.
