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.
1 answer:
Answer:
(B)![\sqrt{2} ft](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D%20%20ft)
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,
![Hypotenuse^2=Opposite^2+Adjacent^2\\=1^2+1^2\\=1+1\\Hypotenuse^2=2\\Therefore, Hypotenuse=\sqrt{2} ft](https://tex.z-dn.net/?f=Hypotenuse%5E2%3DOpposite%5E2%2BAdjacent%5E2%5C%5C%3D1%5E2%2B1%5E2%5C%5C%3D1%2B1%5C%5CHypotenuse%5E2%3D2%5C%5CTherefore%2C%20Hypotenuse%3D%5Csqrt%7B2%7D%20%20ft)
The length of the diagonal is ![\sqrt{2} ft](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D%20%20ft)
You might be interested in
2 students more were introducced in the class and each group had 8 people
A. $1,015.20 $12,690*.08%= $1,015.20
The answer is C)7 packages of pencils and 8 package of erasers
Pencils 8×7=56
Erasers 7×8 =56
Each pencil will have one eraser
Answer:
08 : 00
min : sec
8 minutes each mile
I hope I answer your question correctly