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Home » Substitute \(a = \frac12\) into Equation 4: - Dachbleche24

Substitute \(a = \frac12\) into Equation 4: - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 \boxed{11.2}

📌 Question: A primatologist studying primate spatial reasoning observes a triangular enclosure with sides of 9 cm, 12 cm, and 15 cm. If the enclosure is transformed into an equilateral triangle with the same perimeter, by how many square centimeters does the area increase?

📌 Solution: The perimeter of the original triangle is:

📌 P = 9 + 12 + 15 = 36 \text{ cm}

📌 So, each side of the new equilateral triangle is:

📌 s = \frac{36}{3} = 12 \text{ cm}

📌 The area of the original triangle (a right triangle) is:

📌 A_{\text{original}} = \frac{1}{2} \cdot 9 \cdot 12 = 54 \text{ cm}^2

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