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Home » Perimeter = \(2(\textlength + \textwidth) = 48\) - 500apps

Perimeter = \(2(\textlength + \textwidth) = 48\) - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 R = \frac{17}{2} = 8.5

📌 Thus, the circumradius of the triangle is \(\boxed{8.5}\).

📌 An equilateral triangle has a side length of 10 cm. If each side is increased by 2 cm, by how many square centimeters does the area increase?

📌 The original area \(A_1\) of an equilateral triangle with side \(s = 10\) is:

📌 A_1 = \frac{\sqrt{3}}{4} s^2 = \frac{\sqrt{3}}{4} \times 10^2 = 25\sqrt{3}

📌 The new side length is \(12\) cm, so the new area \(A_2\) is:

📌 A_2 = \frac{\sqrt{3}}{4} \times 12^2 = 36\sqrt{3}

📌 \Delta A = A_2 - A_1 = 36\sqrt{3} - 25\sqrt{3} = 11\sqrt{3}

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