Answer: 19,244 ft
Step-by-step explanation:
1. To solve this exercise you can apply the formula for calculate the distance between two points, which is:
[tex]d=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}[/tex]
2. Then:
[tex]d_{AB}=\sqrt{(6,000-1000)^{2}+(7,000-8,000)^{2}}=5,099.01[/tex]
[tex]d_{AC}=\sqrt{(5,000-1000)^{2}+(1,000-8,000)^{2}}=8,062.25[/tex]
[tex]d_{AC}=\sqrt{(5,000-6000)^{2}+(1,000-7,000)^{2}}=6,082.76ft[/tex]
3. Add the distance obtained to calculate the perimeter of the triangle. Therefore, the fence needed to the nearest food is:
[tex]P=5,099.01ft+8,062.25ft+6,082.76ft=19,244.02ft=19,244ft[/tex]
