Mathematical Practices
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Use a dynamic geometry program such as Geogebra or a graphing calculator. Enter the points from the exercise and remember that the first value stands for the x-coordinate and the second one for the y-coordinate.
Lengths: AB=2 units, BC≈5.83 units, and AC≈5.1 units
Angles: m∠ A≈101.31^(∘), m∠ B≈59.04^(∘), and m∠ C≈19.65^(∘)
We are given three points that we can enter into the program. A point consists of two coordinates, an x-coordinate and a y-coordinate. For example, the point A has an x-coordinate of -2 and a y-coordinate of 1. Let's enter these points into the software.
If we look at the three points, we can see that they can form a triangle. Use the geometry software to form a polygon with the points and calculate the side lengths.
We can see that the lengths are approximately 2, 5.83, and 5.1. Let's move on to angles!
The angles are approximately 101.31^(∘), 59.04^(∘), and 19.65^(∘).