How Many Planes Can Pass Through Points A, B, and C?

Math Problem Statement

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Geometry
Plane through three points
Triangle

Distance formula
Triangle inequality

The fact that three non-collinear points determine exactly one plane

Grades 8-10

How many distinct planes can pass through points A, B, and C given AB=2cm, BC=3cm, and AC=5cm?

Find Length, Slope, and Area for Triangle with Vertices A(2, 2), B(-5, -2), and C(-5, 6)

Finding the Locus of Point C in a Sliding Right Triangle

Finding Vertex Coordinates of Triangle from Centroid in 3D

Determining the Shape of Triangle ABC with 3D Coordinates