The vertices of a triangle are , , and . What type of triang...

Question Analysis:
This question aims to classify a triangle using coordinate - geometry.
The main focus is on applying the distance formula and slope formula to determine the triangle's characteristics.

Key Concept Explanation:
A right - triangle has one angle equal to

, which can be identified by having two sides with slopes that are negative reciprocals (perpendicular sides).
The distance formula helps in calculating side lengths, which can also assist in classification.

Step - by - Step Solution:
1. Calculate slopes:
- Slope of

, undefined (vertical line)
- Slope of

- A vertical and a horizontal line are perpendicular, so

.
2. Calculate side lengths (optional for this problem):
-

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