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Home » Aquí, \( a = -2 \), \( b = 12 \). - Nurtured Nest

Aquí, \( a = -2 \), \( b = 12 \). - Nurtured Nest

📅 May 8, 2026 👤 scraface

May 08, 2026

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d = 4
Thus, the shortest distance from the center to the path is $ \boxed{4}...
Question: A robotics engineer is designing a triangular linkage mechan...
Let the triangle have side lengths $ a = 7 $, $ b = 10 $, $ c = 13 $....
s = \frac{a + b + c}{2} = \frac{7 + 10 + 13}{2} = \frac{30}{2} = 15
Now, use Heron’s formula to find the area $ A $:
A = \sqrt{s(s - a)(s - b)(s - c)} = \sqrt{15(15 - 7)(15 - 10)(15 - 13)...
A = \sqrt{15 \cdot 8 \cdot 10} = \sqrt{1200} = \sqrt{400 \cdot 3} = 20...
r = \frac{A}{s} = \frac{20\sqrt{3}}{15} = \frac{4\sqrt{3}}{3}
Thus, the radius of the inscribed circle is $ \boxed{\dfrac{4\sqrt{3}}...

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