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Home » From Classic Icons to Modern Favorites: Here Are Disney Characters That Dominate Hearts! - inBeat

From Classic Icons to Modern Favorites: Here Are Disney Characters That Dominate Hearts! - inBeat

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Question:** An environmental engineer is assessing a triangular plot of land with side lengths 7 m, 24 m, and 25 m, which is to be used for a rainwater collection system. What is the radius of the inscribed circle within this triangle?

📌 First, verify if the triangle is a right triangle. Check if \( 7^2 + 24^2 = 25^2 \):

📌 + 576 = 625

📌 So, it is a right triangle with legs 7 m and 24 m, and hypotenuse 25 m.

📌 The area \( A \) of the triangle is:

📌 A = \frac{1}{2} \times \text{leg}_1 \times \text{leg}_2 = \frac{1}{2} \times 7 \times 24 = 84 \text{ square meters}

📌 For any triangle, the radius \( r \) of the inscribed circle is given by:

📌 where \( s \) is the semi-perimeter:

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