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Home » Let the triangle have legs \( a, b \), hypotenuse \( z \). Then: - Portal da AcÃºstica

Let the triangle have legs \( a, b \), hypotenuse \( z \). Then: - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 \[ V = \frac{260}{3} \pi \]

📌 Thus, the volume of the glacier is:

📌 \(\boxed{\frac{260}{3} \pi}\)

📌 A climate advocate is analyzing the area of a triangular park in a city to determine the feasibility of planting trees. The park is in the shape of an isosceles triangle with equal sides of length $10$ meters and a base of $12$ meters. Calculate the area of the park.

📌 To find the area of the isosceles triangle, we first calculate its height. We can use the Pythagorean theorem. The triangle can be split into two right triangles with legs of lengths $h$ (the height), $6$ meters (half the base), and hypotenuse $10$ meters. Applying the Pythagorean theorem:

📌 \[ h^2 + 6^2 = 10^2 \]

📌 \[ h^2 + 36 = 100 \]

📌 \[ h^2 = 64 \]

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