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Readme [11.4K]
2 years ago
5

A square has sides of length 8.4 . Work out the length of a diagnol of the square . Give your answer correct to 3 significant fi

gures
Mathematics
1 answer:
sweet [91]2 years ago
3 0

Answer:

The length of the diagonal is 11.879 units

Step-by-step explanation:

On any rectangle or square, any 2 adjacent sides and the diagonal that connects them makes a right triangle. The diagonal is the hypotenuse of that right triangle, and you can find it using the pythagorean theorem:

a^2+b^2=c^2

where a and b are the sides, and c is the diagonal.

\rightarrow8.4^2+8.4^2=c^2\\\rightarrow70.56+70.56=c^2\\\rightarrow c^2=141.12\\\rightarrow c\approx11.879

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Answer:

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Step-by-step explanation:

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