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Home » Now substitute \( a = 1 \) into the expression for \( c \): - Silent Sales Machine

Now substitute \( a = 1 \) into the expression for \( c \): - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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Let the sides of the triangle be $ a = 5x $, $ b = 6x $, and $ c = 7x...
s = \frac{a + b + c}{2} = \frac{5x + 6x + 7x}{2} = 9x
Use Heron’s formula to find the area $ A $:
A = \sqrt{s(s-a)(s-b)(s-c)} = \sqrt{9x(9x - 5x)(9x - 6x)(9x - 7x)} = \...
The radius $ r $ of the inscribed circle is given by:
r = \frac{A}{s} = \frac{6x^2\sqrt{6}}{9x} = \frac{2x\sqrt{6}}{3}
\boxed{\frac{2x\sqrt{6}}{3}}
Question: A marine biologist is designing a conical fish shelter with...
The lateral surface area of a cone is given by:
where $ r = 2x $ and $ l = 5x $. Substituting:

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