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morpeh [17]
3 years ago
15

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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