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Home » From Seed to Banana Splendor: How These Plants Transform Any Garden! - IQnection

From Seed to Banana Splendor: How These Plants Transform Any Garden! - IQnection

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Let the legs of the triangle be $ a $ and $ b $, and the hypotenuse $ z $. The area of the triangle is given by:

📌 So, the area of the triangle can also be expressed as:

📌 Now, recall that in a right triangle, the inradius is given by:

📌 Therefore, the ratio of the area of the circle to the area of the triangle is:

📌 Question: An archaeologist discovers a triangular stone tablet with a right angle. The hypotenuse measures $ 13 $ cm, and the radius of the inscribed circle is $ 2 $ cm. What is the area of the triangle?

📌 Using the formula for the inradius of a right triangle:

📌 Question: A mammalogist observes that the cross-section of a whales tail is a circle inscribed in a right triangle with legs of lengths $ a $ and $ b $. If the hypotenuse is $ 10 $ cm and the inradius is $ 2 $ cm, find the area of the triangle.

📌 Using the formula for area in terms of the inradius and semiperimeter:

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