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hampton inn & suites san diego poway poway ca - Moon Smoking

📅 May 15, 2026 👤 scraface

May 15, 2026

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📌 = â169 = 13 cm

📌 #### 13Question: A right triangle has legs measuring $ 5 $ cm and $ 12 $ cm. What is the radius of the inscribed circle?

📌 Solution: For a right triangle with legs $ a $ and $ b $, and hypotenuse $ c $, the radius $ r $ of the inscribed circle is given by:

📌 r = rac{a + b - c}{2}

📌 First, calculate the hypotenuse $ c $ using the Pythagorean theorem:

📌 c = \sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13 ext{ cm}

📌 Now substitute into the formula for $ r $:

📌 r = rac{5 + 12 - 13}{2} = rac{4}{2} = 2 ext{ cm}

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