CPM Homework Help : INT3 Problem 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.

Hint:

Draw slope triangles and use the Pythagorean Theorem.

Answer:

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

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

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

This is a scalene triangle. Explain why.