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

To classify △ABC\triangle ABC by its angles and sides, we need to know the coordinates of the vertices AA, BB, and CC. Can you provide the coordinates of the vertices? Once we have them, I will calculate the side lengths and determine the triangle's classification based on angles and sides.

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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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