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adele has she lost weight - Professionaloutdoormedia

📅 May 13, 2026 👤 scraface

May 13, 2026

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📌 C = 2\pi r = 2\pi \times \frac{13}{2} = 13\pi \text{ cm}

📌 Thus, the circumference of the circle is \(\boxed{13\pi}\) cm.

📌 Find the length of the shortest altitude of a triangle with side lengths \(13\) units, \(14\) units, and \(15\) units.

📌 To find the shortest altitude, we first compute the area of the triangle using Heron’s formula, then divide by the longest side (since the altitude to the longest side is the shortest).

📌 Let the sides be \(a = 13\), \(b = 14\), \(c = 15\). Compute the semi-perimeter \(s\):

📌 s = \frac{13 + 14 + 15}{2} = \frac{42}{2} = 21

📌 Apply Heron’s formula:

📌 A = \sqrt{s(s-a)(s-b)(s-c)} = \sqrt{21(21-13)(21-14)(21-15)} = \sqrt{21 \times 8 \times 7 \times 6}

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