A triangle has sides of length 7 cm, 24 cm, and 25 cm. Verify if it is a right triangle and find its area.
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- Simplify: \(5000 = 30x\).
- Solve for \(x\): \(x = \frac{5000}{30} \approx 166.67\).
- Since gadgets cannot be sold in fractions, round up: 167 gadgets.
- Check using the Pythagorean theorem: \(7^2 + 24^2 = 49 + 576 = 625\), and \(25^2 = 625\).
- Since \(7^2 + 24^2 = 25^2\), it is a right triangle.
- Area of a right triangle: \(\frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 7 \times 24 = 84\) cm².
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