skittleslovesmagic
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  • 11-11-2018
  • Mathematics
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Find the length of the unknown side. Round your answer to the nearest whole number. (4 points) Image of a right triangle with legs labeled 7 meters each. The hypotenuse is unknown.

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frika
frika frika
  • 12-11-2018

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

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