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📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Question:** A right triangle has legs of length 8 cm and 15 cm. If the length of each leg is increased by 2 cm, by how many square centimeters does the area increase?

📌 The original area of the triangle is:

📌 A_{\text{original}} = \frac{1}{2} \times 8 \times 15 = 60 \text{ cm}^2

📌 After increasing each leg by 2 cm, the new legs are 10 cm and 17 cm. The new area is:

📌 A_{\text{new}} = \frac{1}{2} \times 10 \times 17 = 85 \text{ cm}^2

📌 - 60 = 25 \text{ cm}^2

📌 Thus, the area increases by:

📌 \boxed{25}

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