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📅 May 17, 2026 👤 scraface

May 17, 2026

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New side length: $ 12 - 4 = 8 $ cm.
New area:
\frac{\sqrt{3}}{4} \cdot 8^2 = \frac{\sqrt{3}}{4} \cdot 64 = 16\sqrt{3...
Decrease in area:
36\sqrt{3} - 16\sqrt{3} = 20\sqrt{3}
Thus, the area decreases by $ \boxed{20\sqrt{3}} $.
Question: A triangle has side lengths 13 cm, 14 cm, and 15 cm. Find th...
Use Heron’s formula to compute the area. Semi-perimeter $ s $:
Area $ A $:
= \sqrt{21 \cdot 8 \cdot 42} = \sqrt{7056} = 84 \text{ cm}^2

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