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Consider right triangle with two congruent legs of 7 meters each and unknown hypotenuse.

By the Pythagorean theorem,

[tex]\text{Hypotenuse}^2=\text{First leg}^2+\text{Second leg}^2.[/tex]

Thus,

[tex]\text{Hypotenuse}^2=7^2+7^2=49+49=98,\\ \\\text{Hypotenuse}=\sqrt{98}\approx 10\ m.[/tex]

Answer: 10 m