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Home » Area of a right triangle is \( \frac12 \times \textbase \times \textheight \) - Silent Sales Machine

Area of a right triangle is \( \frac12 \times \textbase \times \textheight \) - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Question: What is the least common multiple of 16 and 24, analogous to synchronizing two drug delivery cycles with half-lives?

📌 Solution: Prime factorization: $16 = 2^4$, $24 = 2^3 \cdot 3$. LCM takes the highest powers: $2^4 \cdot 3 = 16 \cdot 3 = 48$.

📌 \boxed{48}

📌 Question: What is the greatest common divisor of 108 and 144, reflecting the largest uniform interval for monitoring volcanic gas emissions?

📌 Solution: Prime factorization: $108 = 2^2 \cdot 3^3$, $144 = 2^4 \cdot 3^2$. GCD takes the lowest powers: $2^2 \cdot 3^2 = 4 \cdot 9 = 36$.

📌 \boxed{36}

📌 $$**Question:** A circle is inscribed in a right triangle with legs of lengths 9 cm and 12 cm. Determine the radius of the inscribed circle.

📌 To find the radius of the inscribed circle in a right triangle, we can use the formula:

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