The area of a square garden is 50 m3. How long is the diagonal?

Mathematics

1 answer:

katen-ka-za [31]3 years ago

6 0

Answer:

10 m

Step-by-step explanation:

If the area of a square is 50 m2, then the length of each side will be $\sqrt{50}$ 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 $\sqrt{50}$ m each.

the diagonal length represent the hypotenuse side of each of the right angle, knowing the pythagoras theorem:

$(hyp)^{2} = (opp)^{2} + (Adj)^{2}$ , so we have:

$(diagonal)^{2} = 50 + 50$

$(diagonal)^{2} = 100$

diagonal = 10 m

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