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where to watch lakers vs okc thunder - NBX Soluciones

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Question: A geographical study examines a triangular region with sides 13, 14, 15 units. Compute the ratio of the area of its inscribed circle to the area of the triangle.

📌 Question: A 10th-century geometric manuscript describes a triangle with sides 9, 10, 17 units. Calculate the radius of the inscribed circle.

📌 Question: In a right triangle, the hypotenuse is $ z $, and the inradius is $ c $. Express the ratio of the area of the inscribed circle to the triangles area in terms of $ z $ and $ c $.

📌 Question: A historical surveyor measured a triangular plot with sides 15, 20, 25 meters. Determine the length of the altitude from the right angle to the hypotenuse.

📌 The other two altitudes correspond to the equal sides as bases. We compute the area of the triangle first:

📌 The altitude to one of the equal sides (10 cm) is:

📌 Since 8 cm is less than 9.6 cm, the shortest altitude is 8 cm.

📌 Question: In a right triangle used to model the slope of a solar panel installation, the hypotenuse is 25 cm and the inradius is 5 cm. What is the ratio of the area of the inscribed circle to the area of the triangle?

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