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2v_3 - 3v_1 = 0 \\ - AdVision eCommerce

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 We are asked to find the perimeter $ P = 2s $, so we need to find $ s $.

📌 Since the problem does not specify $ r $, we leave the perimeter in terms of $ r $:

📌 Question: A ichthyologist studying Arctic fish populations models a migration path as a triangle inscribed in a circular lake. If the triangle has side lengths 9 cm, 12 cm, and 15 cm, what is the radius of the circle?

📌 In a right triangle, the circumradius $ R $ is half the hypotenuse:

📌 Now compute the area using Herons formula:

📌 This expression is algebraically complex, so we simplify using an alternate method:

📌 The triangle is not right-angled, but we can use the formula:

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