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Home » for all $ a, b, c \in \mathbbR $. - Ready Digital AB

for all $ a, b, c \in \mathbbR $. - Ready Digital AB

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Thus, the circumference of the circle is \(\boxed{13\pi}\).

📌 In a right triangle with legs of lengths 9 cm and 12 cm, find the radius of the inscribed circle. Summarize the solution by providing the final result in a box.

📌 First, we find the hypotenuse \(c\) of the right triangle using the Pythagorean theorem:

📌 c = \sqrt{9^2 + 12^2} = \sqrt{81 + 144} = \sqrt{225} = 15 \text{ cm}

📌 The area \(A\) of the triangle is:

📌 A = \frac{1}{2} \times 9 \times 12 = 54 \text{ cm}^2

📌 The semi-perimeter \(s\) of the triangle is:

📌 s = \frac{9 + 12 + 15}{2} = 18 \text{ cm}

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