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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.

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

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

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

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

This is a scalene triangle. Explain why.