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=](https://us-static.z-dn.net/files/dc6/036ca5d3f33d96667c9242706ff6b89e.png)
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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