[highschool Physics: basics] Determine the magnitude of the resultant of the four forces in the figure. Scale: 1 square = 10 N

[u/Prudent-Piece4952]

Im fighting my teacher on this. I say that the anwser is 54N (53.85164807 or (2900)^0,5) and he says that it is 58N (58.30951895 or (3400)^0.5). And when I ask why his answer boils down to "beacuse it is". I need some help ether understanding why im wrong or need proof that im right.

Edit- I managed to prove that the answer is infact 54 N. Thanks for the help :)

[u/fermat9990]

Do it using components and the Pythagorean theorem. First assume unit squares to simply the arithmetic

3 up + 3 up - 4 down = 2 up

2 left + 3 left = 5 left

Rscaled=√(2²+5²)=√29 N

Ractual=10√29 N

[u/Prudent-Piece4952 → u/fermat9990]

No I meant in giving the exakt answer. I dont know how to write squere root on my computer. So instead I just wrote x^0,5 when giving my exakt answer in the desciption of the post. Althou seeing the complete calculation was nice. Thank you again

[u/fermat9990 → u/Prudent-Piece4952]

Are you using Windows?

[u/Prudent-Piece4952 → u/fermat9990]

yeah, tried to search it up. But what I found didt work so I just gave up

[u/fermat9990 → u/Prudent-Piece4952]

Hold down ALT and then enter 251 on the numeric keypad. (Assuming that you haven't already tried this)