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homewood suites by hilton houston downtown - Imagemakers

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 We compute the altitudes for each side:

📌 Question: A palynologist observes a rectangular pollen grain measuring 3 mm by 4 mm inscribed in a circular lens. What is the radius of the circle, in millimeters?

📌 Solution: A rectangle inscribed in a circle means that the circles diameter is the diagonal of the rectangle.

📌 Using the Pythagorean theorem, the diagonal $d$ of the rectangle is:

📌 Thus, the diameter of the circle is 5 mm, so the radius is:

📌 Question: A virologist models the base of a virus as a triangle with side lengths 7 units, 10 units, and 13 units. What is the area of this triangle?

📌 Solution: To find the area of a triangle with sides $a = 7$, $b = 10$, and $c = 13$, we use Herons formula.

📌 Question: An ornithologist is studying a birds triangular wings with side lengths of 9 cm, 12 cm, and 15 cm. What is the length of the longest altitude?

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