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coldgirl [10]
3 years ago
7

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 <em>any isosceles right triangle</em>, not just for the diagonal of this square. It is useful to remember.

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