for a project, you need the diagonal fold of a square piece of origami paper to be 10 cm long. to what dimensions do you need to cut the square origami paper?
x^2 + x^2 = 10^2
2x^2 = 100
x^2 = 50
x = √50
diagonal of a cube measures es024-1.jpg cm. The diagonal of a face measures 10 cm.
What is the length, in centimeters, of an edge of the cube? Round the answer to the nearest tenth.
To find the dimensions of the square origami paper, we can use the Pythagorean theorem. According to the theorem, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is the diagonal of the square paper, and the other two sides are the length and width of the square.
Let's assume the length and width of the square paper are both "x", in centimeters.
Using the Pythagorean theorem:
x^2 + x^2 = 10^2
2x^2 = 100
x^2 = 50
x = √50 ≈ 7.0711 cm
Therefore, you need to cut the square origami paper to approximately 7.0711 cm by 7.0711 cm to have a diagonal fold of 10 cm.
To determine the dimensions of the square origami paper needed for a diagonal fold of 10 cm, we can utilize the Pythagorean theorem.
The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In the case of the square origami paper, the two sides are equal in length, forming a right angle. Let's assume the length of each side of the square is 'x' cm. The diagonal (hypotenuse) of the square will be the side opposite the right angle.
Using the Pythagorean theorem:
x^2 + x^2 = (diagonal length)^2
2x^2 = (diagonal length)^2
To find the dimensions of the paper, we need to solve for 'x'. By rearranging the equation, we have:
x^2 = (diagonal length)^2 / 2
x = √((diagonal length)^2 / 2)
Substituting the given diagonal length of 10 cm:
x = √(10^2 / 2)
x = √(100 / 2)
x = √50
x ≈ 7.07 cm
Therefore, to achieve a diagonal fold measuring 10 cm, you will need to cut a square piece of origami paper with dimensions approximately 7.07 cm by 7.07 cm.