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📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 Thus, the total distance traveled by the bird is \(\boxed{10\pi}\).

📌 Question:** An electrical engineer designs a triangular circuit board where the sides are \(7\) units, \(24\) units, and \(25\) units. Find the area of the triangle using Heron's formula.

📌 Solution:** To find the area of the triangle using Heron's formula, first compute the semi-perimeter \(s\):

📌 s = \frac{a + b + c}{2} = \frac{7 + 24 + 25}{2} = 28

📌 Heron's formula for the area \(A\) is:

📌 A = \sqrt{s(s-a)(s-b)(s-c)}

📌 Substituting the values of \(a = 7\), \(b = 24\), \(c = 25\), we have:

📌 A = \sqrt{28 \times (28-7) \times (28-24) \times (28-25)}

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