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

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• The area \(A\) of the triangle is given by:
• \[ A = \frac{1}{2}ab \]
• Using the Pythagorean theorem:
• We have two equations:
• \( a^2 + b^2 = 100 \)
• Using the identity \((a + b)^2 = a^2 + b^2 + 2ab\), we substitute:

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