How Can You Simplify or Solve the Equation A^2 + B^2 * C^2 = C^2?

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To simplify or solve the equation A^2 + B^2 * C^2 = C^2, it is noted that A, B, and C are integers. If |B| > 1, then B^2 * C^2 exceeds C^2, leading to the conclusion that A^2 must be non-negative. This implies that the values of B are limited, as they must satisfy the condition of the equation. The discussion encourages exploring these constraints further to find potential solutions. Ultimately, the focus is on determining the valid integer values for B that allow the equation to hold true.
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How do you simplify this or solve it for any possible variables?
This should be easy huh?

A^2 + B^2 * C^2 = C^2
 
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A, B, C are alll integers right?
If so, then if |B| > 1, then
B2C2 > C2, right?
A2 >= 0, so what values can B have?
Can you go from here? :)
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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