0
A square having one unit side, means a side of length 1. There for Pythagorean tells us a^2+b^2=c^2; so 1^2+1^2=c^2. Therefore c=sqrt(2) but the question asks for the square of the diagonal: (sqrt(2))^2=2. Answer: 2
Wiki User
∙ 15y ago
Add your answer:
Earn +20 pts
What is unit Ksi?
Ksi-One thousand pounds per square inch
What is periodicity of unit step signal?
YES, unit step function is periodic because its power is finite that is 1/2.. and having infinite energy.
How many square feet does a one ton central air unit cool that is built on a concrete slab?
1 TON of air conditioning requires 400 cubic feet per minute of air movement in the average HVAC system.
Can you build a deck over an air conditioner?
An air-conditioning outdoor unit needs to have a free flow of air on both sides of the unit (where the grilles are that the air flows through) in order to operate efficiently. The air needs to be freely moving and cannot be a still pocket of air such as within a solid structure. The unit also needs to be accessible for maintenance and repairs. Check with the manufacturer of the the unit as to how much room is recommended for access to the unit, and how much space is required for airflow. Remember the unit will need replacing at some point. If your deck construction will allow for these factors there should be no problem with building over the unit.
What is the cross section of a cube?
The cross sectional area of a triangular prism is simply the area of the base. The formula for the area of a triangle in one half base times height. Remember that a triangular prism by definition has a triangle for a base.
What is the length of the diagonal of a square with sides that have a length of 1 unit?
Using Pythagoras' theorem the answer is equal to the square root of 2.
Where did square roots come from?
They came from geometry. If you have a square whose sides are 1 unit long then its diagonal is sqrt(2) units long.
The area of a square is 0.5 hectare Its diagonal equals?
Its diagonal is 1 unit.
Who created square roots and cube roots?
The ancients - Egyptians or Greeks. They probably came across the square root of 2 when considering the diagonal of a square with sides of length 1. The cube root of 3 would have arisen, similarly, with the principal diagonal of a unit cube.
How do you get diagonal measurement of a 17x17 inch square?
You use the Pythagorean Theorem, which says that the square of the hypotenuse of a right triangle is the sum of the squares of the other two sides. Two adjacent sides of a square (or any rectangle) together with a diagonal form a right triangle. In the case of a square, the triangle is isosceles. Calling the length of a side of the square (17 inches) one unit, the theorem tells us that the hypotenuse is the square root of 2 units. Therefore the diagonal of the square is 17 times the square root of 2 inches, which is about 24 inches.
Why are percent rational numbers?
They need not be. A unit circle inside a square with sides of 2 units, for example, occupies 25*pi per cent of the area. But 25*pi is not a rational number.
What is a square with 1cm sides called?
It is a unit centimetre square.
Can you draw a rectangle that has an area of 6 square unit and a perimeter of 12 units?
Yes it measures 3 on all sides sides across from each other but it would have to be a square. Having a rectangle is impossible. Then again a square is a rectangle but a rectangle isn't a square.
What are the dimensions of largest square that can be inscribed in a circle?
The diagonal of the square is the diameter of the circle (think about it!) so the sides of the square can be pythagorassed ie the square of the diagonal is twice the square of a side. As an example, consider a circle of diameter 50 units. the square of this is 2500 so every side of the square is the square root of 1250 units which equals sqrt 625 x sqrt 2 or 25 root 2 ie 35.355339 units, or 70.71% of the diameter of the circle. More basically, the diagonal is the hypotenuse of a 45/45/90 triangle so the sides are in the ratio 1/1/root2 or if you want the hypotenuse to be 1, the sides would be (root 2)/2. Either way, the sides are root2 times the radius of the circle, which is of course half the diameter. This is in full agreement with the 25 root2 calculated above for a 50 unit diameter circle.
What is a real world example of a radical function?
The diagonal of a unit square, for example, is radical(2).
How do you locate the square root if two on a number line using geometry?
Draw a square which is 1 unit by 1 unit in size. By Pythagoras, the diagonal of the square will be sqrt(2) units in length.
How is radical used in real life?
In the simplest case, it is use to find the diagonal length of a unit square.
