The length of a diagonal of a large square garden is 15 yards. What is the approximate length of one side of the square garden?

Question

04-05-2017
Mathematics

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The length of a diagonal of a large square garden is 15 yards. What is the approximate length of one side of the square garden?

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irspow irspow · Answer 1 · 2017-05-04T16:56:24+02:00

irspow irspow

04-05-2017

By the pythagorean theorem the diagonal length will be:

d^2=x^2+y^2 and since this is a square x=y so

d^2=2x^2 and since d=15

225=2x^2

x^2=112.5

x=√112.5 yds

x≈10.6 yds (to nearest tenth of a yard)

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