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AI-লিখিত অনুমানভিত্তিক উত্তর—ধারণা ও সীমাবদ্ধতা নিচে উল্লেখ করা হয়েছে। এটি উৎসের যাচাইকৃত মূল উত্তর হিসেবে দাবি করা হচ্ছে না।

স্পষ্ট অনুমান: 'SN' is an OCR misread of '5N'. | 'medians' is a typographical or translation error for 'forces'. | The forces act parallel to the sides AB, BC, and CA taken in order, forming angles of 0°, 120°, and 240°.

Let the three concurrent forces be:

• F₁ = 3 N parallel to side AB (along θ₁ = 0°)
• F₂ = 2 N parallel to side BC (along θ₂ = 120°)
• F₃ = 5 N parallel to side CA (along θ₃ = 240°)

Resolving the forces horizontally (along AB):
X = 3 cos 0° + 2 cos 120° + 5 cos 240°
X = 3(1) + 2(-1/2) + 5(-1/2) = 3 - 1 - 2.5 = -0.5 N

Resolving the forces vertically (perpendicular to AB):
Y = 3 sin 0° + 2 sin 120° + 5 sin 240°
Y = 0 + 2(√3/2) + 5(-√3/2) = √3 - (5√3)/2 = -(3√3)/2 N

The magnitude of their resultant R is:
R = √(X² + Y²)
R = √[(-1/2)² + (-(3√3)/2)²]
R = √(1/4 + 27/4) = √(28/4) = √7 N ≈ 2.65 N

Answer: √7 N