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ABCD is a square force of magnitude 14N, 4N, 2N, and 2\(\sqrt{2}\)N act along the...

Further Mathematics
WAEC 2025

ABCD is a square force of magnitude 14N, 4N, 2N, and 2\(\sqrt{2}\)N act along the sides AB, BC, CD, and DA, respectively. Find in Newton, the magnitude of the resultant of the force. 

  • A. 11.05
  • B. 14.11
  • C. 12.06
  • D. 13.81
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Correct Answer: Option C
Explanation

Using Pythagoras' theorem

R\(^2\) = 12\(^2\) + 1.17\(^2\)

R\(^2\) = 144 + 1.3689

R\(^2\) = 145.3689

R = \(\sqrt{145.3689}\) = 12.06


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