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A triangle has sides of lengths 7 cm, 24 cm, and 25 cm. Verify if it is a right triangle, and if so, find its area.
Check using the Pythagorean theorem: \(a^2 + b^2 = c^2\). So, \(7^2 + 24^2 = 49 + 576 = 625 = 25^2\).
It is a right triangle. Use the standard area formula: \( rac{1}{2} imes 7 imes 24 = 84 ext{ cm}^2\).

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