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Home » \frac412 = \boxed{\frac13} - ToelettAPP

\frac412 = \boxed{\frac13} - ToelettAPP

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 C \approx \pi \left[3(10 + 6) - \sqrt{(3 \cdot 10 + 6)(10 + 3 \cdot 6)}\right] = \pi \left[48 - \sqrt{(36)(28)}\right]

📌 \sqrt{36 \cdot 28} = \sqrt{1008} \approx 31.75

📌 C \approx \pi (48 - 31.75) = \pi (16.25)

📌 \boxed{16.25\pi}

📌 Question: An archaeologist discovers a triangular stone slab with side lengths 13 cm, 14 cm, and 15 cm. What is the radius of the inscribed circle?

📌 Solution: To find the radius $r$ of the inscribed circle of a triangle with sides $a = 13$, $b = 14$, and $c = 15$, we use the formula:

📌 r = \frac{A}{s}

📌 where $A$ is the area of the triangle and $s$ is the semi-perimeter:

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