Question

Triangle ABC is graphed on the set of axes below.AABC can be classified as which of the following?

Answer 1

First, we must calculate the distance between the points to know the measure of the sides

We need to use the next equation

$d=\sqrt[2]{(x_2-x_1)^2+(y_2-y_1)^2}$

AC:

$AC=\sqrt[]{(-2-(-4))^2+(5-(-1))^2}=\sqrt[]{4+36}=\sqrt[]{40}$

AB:

$AB=\sqrt[]{(-2-3)^2+(5-(-3))^2}=\sqrt[]{25+64}=\sqrt[]{89}$

CB:

$CB=\sqrt[]{(-4-3)^2+(-1-(-3))^2}=\sqrt[]{49+4}=\sqrt[]{53}$

we can see that all sides have different measurements. So, it is a scalene triangle.

Finally, the answer is option #4.