# Ann is making a quilt of squares cut diagonally in half. If the squares are 1 foot on a side, how long

1 answer

###### Question:

Ann is making a quilt of squares cut diagonally in half. If the squares are 1 foot on a side, how long will the diagonal cuts be?A.1 ft. B.C.4 ft. D.2 ft.

## Answers

(B)[tex]\sqrt{2} ft[/tex]

Step-by-step explanation:

Given a Square of side 1 foot, the length of the diagonal is determined using the Pythagoras theorem.

The diagonal is the hypotenuse of the right triangle obtained.

From Pythagoras Theorem,

[tex]Hypotenuse^2=Opposite^2+Adjacent^2\\=1^2+1^2\\=1+1\\Hypotenuse^2=2\\Therefore, Hypotenuse=\sqrt{2} ft[/tex]

The length of the diagonal is [tex]\sqrt{2} ft[/tex]

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