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a² + b² = c² a = 9 b = 40

Question

a² + b² = c²
a = 9 b = 40

Explanation:

Step1: Substitute values

Substitute \(a = 9\) and \(b = 40\) into \(a^{2}+b^{2}=c^{2}\).

$$ LATEXBLOCK0 $$

Step2: Solve for \(c\)

Take the square root of both sides. Since \(c\) represents a length (assuming a right - triangle context), \(c>0\).

$$c=\sqrt{1681} = 41$$

Answer:

\(c = 41\) (the green box)