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if the sides of the square red flag are 9.2 inches, then how long is the white diagonal strip? explain worth 20 pointss

If The Sides Of The Square Red Flag Are 92 Inches Then How Long Is The White Diagonal Strip Explain Worth 20 Pointss class=

Sagot :

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Answer:

  13.0 inches

Step-by-step explanation:

The diagonal of a square is √2 times the side length, so the diagonal stripe has length ...

  (9.2 in)√2 ≈ 13.0 in

The white stripe is 13.0 inches long.

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The diagonal is the hypotenuse of an isosceles right triangle. The side lengths of such a triangle have the ratios ...

  1 : 1 : √2

That is, the longest side (hypotenuse) is √2 times either of the equal-length shorter sides.

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If you prefer to use the Pythagorean theorem, you can compute the diagonal from ...

  d² = 9.2² + 9.2²

  d = √(2×9.2²) = 9.2√2 ≈ 13.0

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