What is the kind of triangle that
points 𝐴 nine, negative four, 𝐵 three, five, and 𝐶 six, one form with respect to
The first thing we wanna do is
sketch a graph we can use to graph the three points. From there, we’ll plot the three
points 𝐴, 𝐵, and 𝐶. Point 𝐴 is located at nine,
negative four: nine along the 𝑥-axis; negative four along the 𝑦-axis. Point 𝐵 is located at three along
the 𝑥-axis and five along the 𝑦-axis. Point 𝐶 is located at six along
the 𝑥-axis and one along the 𝑦-axis.
At first glance, it hardly seems
like these three points will make a triangle at all, but we’re going to do our best
to connect them. How do we label a triangle that
looks like this? It has two very small angles and
one very large angle.
To label this triangle by its
angles, we look at angle 𝐶. And because we can visually tell
that this is larger than 90 degrees, we label this as an obtuse triangle.