Please refrace de lou
The points form a equilateral triangle of side 5.78 units.
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
The length of the sides of the triangle is 5.78. All the sides are equal in length. It is an equilateral triangle.
Step 1. Open GeoGebra or GeoGebra geometry and enter the input of the three points of our triangle.
Step 2. In the measure menu, choose the distance tool and select tow points in our triangle to measure the distance of one side; repeat the process for the other two sides.
Step 3. In the measure menu, choose the angle tool and select three points in our triangle to measure the angle between the three points; repeat the process for the other two angles.
Step 4. After performing the previous steps, we end with a triangle of three equal sides of 5.8 units and three equal angles of 60°. Since all the sides and angles in our triangle are equal, we have an equilateral triangle.
We can conclude that the triangle with coordinates (10, 14), (15, 11.11), and (10, 8.22) is an equilateral triangle.