Math Problem Statement

find the length of the three medians of the triangle PQR whose vertices are P=(10,1), Q=(-6,9) and R=(-2, -3).

Solution

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Math Problem Analysis

Mathematical Concepts

Geometry
Triangles
Medians
Distance Formula

Formulas

Distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Midpoint formula: M = ((x1 + x2)/2, (y1 + y2)/2)

Theorems

Median Theorem
Centroid Theorem

Suitable Grade Level

Grades 9-12