Math Problem Statement
The perimeter of a triangle is 71 cm. The longest side is 3 cm less than the sum of the other two sides. Twice the shortest side is 8 cm less than the longest side. Find the length of each side of the triangle.
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Geometry
Formulas
Perimeter of a triangle: a + b + c = perimeter
Linear relationship: c = a + b - 3
Linear relationship: 2a = c - 8
Theorems
Triangle Inequality Theorem
Suitable Grade Level
Grades 8-10
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