\[ a^2 + b^2 = c^2 = 100 \]

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• \[ 2 = \frac{a + b - 10}{2} \]
• \[ a + b = 14 \]
• \[ A = \frac{1}{2}ab \]
• \( a^2 + b^2 = 100 \)
• \[ 14^2 = 100 + 2ab \]
• \[ 196 = 100 + 2ab \]

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