CPM Homework Help : A2C Problem 2-129

Classify the triangle with vertices $A(3, 2)$ , $B(−2, 0)$ , and $C(−1, 4)$ by finding the length of each side. Be sure to consider all possible triangle types. Include sufficient evidence to support your conclusion.

Hint:

Draw slope triangles and use the Pythagorean Theorem. If you need help, review Checkpoint 2A.

Answer:

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

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

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

This is a scalene triangle. Explain why.