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Home » Let the dimensions be \( a \) and \( b \). We are given: - SUpost

Let the dimensions be \( a \) and \( b \). We are given: - SUpost

📅 July 6, 2026 👤 scraface

Jul 06, 2026

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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
The area of the equilateral triangle is:
A_{\text{new}} = \frac{\sqrt{3}}{4} \cdot 12^2 = \frac{\sqrt{3}}{4} \c...
The increase in area is:
\Delta A = 36\sqrt{3} - 54
\boxed{36\sqrt{3} - 54}
Question: Compute $\tan 75^\circ$ using angle addition identities.
Solution: Using the identity:

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