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Home » Then $y = 2\left(rac85 - DevRocket

Then $y = 2\left(rac85 - DevRocket

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 \cos 225^\circ = \cos(180^\circ + 45^\circ) = -\cos 45^\circ = -\frac{\sqrt{2}}{2}

📌 Now, adding the two values:

📌 \cos 45^\circ + \cos 225^\circ = \frac{\sqrt{2}}{2} - \frac{\sqrt{2}}{2} = 0

📌 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

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