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? EDIT: the answer is b

A. 1 ft.

B. (the square root of) 2 ft.

C. 4 ft.

D. 2 ft.

Answer 1

B

Explanation:

Answer 2

(B)
`√(2) ft`

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,

`Hypotenuse^2=Opposite^2+Adjacent^2\\=1^2+1^2\\=1+1\\Hypotenuse^2=2\\Therefore, Hypotenuse=√(2) ft`

The length of the diagonal is
`√(2) ft`