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Home » Shocking Green Blooms That Are Taking Instagram by Storm! - Upplift

Shocking Green Blooms That Are Taking Instagram by Storm! - Upplift

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 Use the Law of Cosines: \( c^2 = a^2 + b^2 - 2ab\cos C \), where \( a = 13 \), \( b = 15 \), \( C = 60^\circ \), \( \cos 60^\circ = 0.5 \).

📌 \( c^2 = 13^2 + 15^2 - 2 \cdot 13 \cdot 15 \cdot 0.5 = 169 + 225 - 195 = 199 \).

📌 So, \( c = \sqrt{199} \approx 14.106 \), but we keep exact: \( \sqrt{199} \).

📌 However, for exact boxed answer: \( \sqrt{199} \) is simplest.

📌 But compute: \( 169 + 225 = 394 \), \( 2 \cdot 13 \cdot 15 = 390 \), \( 390 \cdot 0.5 = 195 \), so \( 394 - 195 = 199 \).

📌 Thus, \( c = \sqrt{199} \).

📌 #### \(\sqrt{199}\)

📌 A circle is inscribed in an equilateral triangle with side length 12 cm. What is the area of the circle?

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