Math Problem Statement
Question: 8
A square of perimeter 40 is inscribed in a square of perimeter 56 (inscribed means the vertices of the smaller square are on the sides of the larger square). If the greatest distance between a vertex of the inner square and a vertex of the outer square is r root of abc, where abc is a three- digit natural number.
Find the value of (a + b + c)
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Squares
Perimeter
Diagonal
Inscribed Figures
Formulas
Perimeter of a square = 4 × side
Diagonal of a square = side × √2
Theorems
Pythagorean Theorem
Properties of inscribed squares (45° rotation)
Suitable Grade Level
Grades 9-11
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