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embassy suites 1250 22nd st nw - Professionaloutdoormedia

📅 May 15, 2026 👤 scraface

May 15, 2026

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📌 Question: In a right triangle, the hypotenuse is $ 13 $ cm and the altitude to the hypotenuse is $ 5 $ cm. What is the area of the triangle?

📌 Solution: The area $ A $ of a triangle can be calculated using the base and height:

📌 Here, the hypotenuse $ c = 13 $ cm serves as the base, and the altitude to the hypotenuse is $ h = 5 $ cm:

📌 Question: A square is inscribed in a circle of radius $ 5 $ cm. What is the area of the square?

📌 Solution: In a square inscribed in a circle, the diagonal of the square is equal to the diameter of the circle. Let $ s $ be the side length of the square. Then the diagonal $ d $ is:

📌 Question: A triangle has sides of length $ 7 $ cm, $ 10 $ cm, and $ 13 $ cm. What is the length of the shortest altitude?

📌 Solution: The shortest altitude corresponds to the longest side, which is $ 13 $ cm. First, compute the area $ K $ using Herons formula. The semi-perimeter $ s $ is:

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