### Home > INT3 > Chapter 2 > Lesson 2.3.1 > Problem2-140

2-140.

Classify the triangle with vertices $A(3,2)$, $B(-2,0)$, and $C(-1,4)$ by calculating the length of each side. Be sure to consider all possible triangle types.

Draw slope triangles and use the Pythagorean Theorem.

$AB\ = \ \sqrt{29} \text { units}$

$CB\ =\ \sqrt{17}\text{ units}$

$AC\ = \ \sqrt{20}\text{ units}$

This is a scalene triangle. Explain why.