finding the perimeter

Question

Terry owns a triangular piece of land that has three corner fence poles at A, B,and C. The three poles are plotted on a grid in units of feet at A(1000, 8000), B(6000, 7000), and C(5000, 1000). Terry wants to fence his land. To the nearest foot, how much fence does he need?

Answer 1

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

AB = √[(6000 - 1000)² + (7000 - 8000)²]

AB = √[5000² + (-1000)²]

AB = √[25,000,000 + 1,000,000]

AB = √26,000,000

AB = 5099.019514 feet

BC = √[(6000 - 5000)² + (7000 - 1000)²]

BC = √[1000² + 6000²]

BC = √[1,000,000 + 36,000,000]

BC = √37,000,000

BC = 6082.76253

AC = √[(1000 - 5000)² + (8000 - 1000)²

AC = √[(-4000)² + (7000)²]

AC = √[16,000,000 + 49,000,000]

AC = √65,000,000

AC = 8062.257748

P = AB + BC + AC

P = 5099.02 + 6082.76 + 8062.26

P = 19,244.04 feet