Both the area and the perimeter of a right-angled triangle are 30. Find the square of the hypotenuse.

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• A 169
• B 144
• C 25
• D None of the above

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Answer: A. 169

The sides are 5, 12 and 13 (area = 1/2 × 5 × 12 = 30, perimeter = 5 + 12 + 13 = 30). Hypotenuse² = 13² = 169.

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