Three forces of magnitudes 3N, 4N, 5N act along the sides of a triangle forming a closed loop. What is their resultant?

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SSC Applied Mathematics QUESTION #4155

Question 1

Three forces of magnitudes $3N$, $4N$, $5N$ act along the sides of a triangle forming a closed loop. What is their resultant?

$12N$
$0N$✔️
$\sqrt{50}N$
$1N$

Correct Answer Explanation

If forces act along sides of a triangle forming a closed loop (in equilibrium), by triangle law of vector addition, $\vec{F_1} + \vec{F_2} + \vec{F_3} = \vec{0}$. Resultant is zero.

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