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Trava [24]
4 years ago
13

What is the lenght of a diagonal of a square with sides 16feet

Mathematics
1 answer:
Basile [38]4 years ago
7 0

Answer:

The length of the diagonal is 22.6 ft.

Step-by-step explanation:

To find the length of the diagonal of a square, multiply the length of one side by the square root of 2:

If the length of one side is x, length = x\sqrt{2} as you can see in the image attached.

This fact is a consequence of applying the Pythagoras' Theorem to find the length of the diagonal if we know the side length of the square.

length^{2}  = x^{2}+x^{2}  \\ length=\sqrt{x^{2}+x^{2}} \\ length=\sqrt{2x^{2} } \\ length=x\sqrt{2}

We know that the length of one side is 16 ft so length = 16\sqrt{2}=22.627 and round to the nearest tenth is 22.6 ft

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