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📅 May 15, 2026 👤 scraface

May 15, 2026

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📌 The area \(A\) is given by:

📌 A = \sqrt{s(s-a)(s-b)(s-c)} = \sqrt{21(21-13)(21-14)(21-15)}

📌 A = \sqrt{21 \times 8 \times 7 \times 6} = \sqrt{7056} = 84

📌 r = \frac{A}{s} = \frac{84}{21} = 4

📌 Thus, the radius of the inscribed circle is \(\boxed{4}\).

📌 A pharmacologist developing new drugs visualizes molecular bonds as a right triangle with legs of lengths 9 cm and 12 cm. Determine the length of the hypotenuse and the area of the triangle.

📌 To find the hypotenuse \(c\) of a right triangle with legs \(a = 9\) and \(b = 12\), we use the Pythagorean theorem:

📌 A = \frac{1}{2} \times a \times b = \frac{1}{2} \times 9 \times 12 = 54

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