Answer:
10 m
Step-by-step explanation:
If the area of a square is 50 m2, then the length of each side will be [tex]\sqrt{50}[/tex] m, to get the diagonal length, after dividing the square by joining the points of the diagonal with a line, it forms two right angles with length [tex]\sqrt{50}[/tex] m each.
the diagonal length represent the hypotenuse side of each of the right angle, knowing the pythagoras theorem:
[tex](hyp)^{2} = (opp)^{2} + (Adj)^{2}[/tex], so we have:
[tex](diagonal)^{2} = 50 + 50[/tex]
[tex](diagonal)^{2} = 100[/tex]
diagonal = 10 m
