Math Problem Statement

Alex is studying the properties of triangles and has plotted the vertices shown below on a coordinate plane. Alex needs to classify the triangle by its angles and sides. Using the given coordinates, classify ∆ABC by angles and sides.

Solution

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Math Problem Analysis

Mathematical Concepts

Geometry
Coordinate Geometry
Triangles
Distance Formula

Formulas

Distance formula: d = √((x2 - x1)^2 + (y2 - y1)^2) to calculate side lengths
Angle classification (Acute, Right, Obtuse)
Side classification (Equilateral, Isosceles, Scalene)

Theorems

Pythagorean Theorem (for right triangle classification)
Triangle inequality theorem (for triangle validity)

Suitable Grade Level

Grades 8-10

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