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3 years ago

Please help me with this as soon as you can

Mathematics

1 answer:

saw5 [17]3 years ago

6 0

9514 1404 393

Answer:

14.14

Step-by-step explanation:

The diagonal of a square is √2 times the side length.

AC = AB×√2

AC = 10√2 ≈ 14.14

_____

The diagonal of a square is the hypotenuse of an isosceles right triangle. If the sides of that are s and the diagonal is d, the Pythagorean theorem tells us ...

d² = s² + s²

d² = 2s²

d = (√2)(√s²) = s√2

This relation holds for any isosceles right triangle, not just for the diagonal of this square. It is useful to remember.

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