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Home » Eve Invincible: The Unstoppable Warrior Lay Claims Her Legendary Title! - Dachbleche24

Eve Invincible: The Unstoppable Warrior Lay Claims Her Legendary Title! - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 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}

📌 Thus, the area increases by \(\boxed{11\sqrt{3}}\) square centimeters.

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Now, calculate how many such squares are needed:
Divide the length of the rectangle by the side of the square: \( \frac...
Divide the width of the rectangle by the side of the square: \( \frac{...
Therefore, the total number of squares is \( 4 \times 5 = 20 \).
The smallest number of whole non-overlapping squares needed is \(\boxe...
Question:** An anthropologist is studying the relationship between com...
R = k \cdot \frac{S^2}{L}
Substitute the known values into the equation: \( R = 50 \), \( L = 5...
= 2 \cdot \frac{S^2}{5}
= \frac{2S^2}{5}

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