Answer:
The points form a equilateral triangle of side 5.78 units.
Step-by-step explanation:
The length of the sides of the triangle is calculated using the distance formula.
The distance between the points (x₁,y₁) and (x₂,y₂) is
[tex]d= \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
Now,
AB = [tex]\sqrt{(11.11-14)^{2}+(15-10)^{2}}=\sqrt{8.3521+25} = \sqrt{33.3521}=5.78[/tex]
BC = [tex]\sqrt{(8.22-11.11)^{2}+(10-15)^{2}}=\sqrt{8.3521+25} = \sqrt{33.3521}=5.78[/tex]
CA = [tex]\sqrt{(8.22-14)^{2}+(10-10)^{2}}=5.78[/tex]
The length of the sides of the triangle is 5.78. All the sides are equal in length. It is an equilateral triangle.
