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📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 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

📌 Thus, the length of the hypotenuse is \(\boxed{15}\) and the area is \(\boxed{54}\).

📌 Create a visualization of a triangle with sides 8 cm, 15 cm, and 17 cm, and compute the circumradius of the triangle.

📌 The triangle with sides 8, 15, and 17 is a right triangle (since \(8^2 + 15^2 = 17^2\)). The circumradius \(R\) of a right triangle is given by:

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