Basic Geometry : Basic Geometry
Study concepts, example questions & explanations for Basic Geometry
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Example Questions
Example Question #971 : Basic Geometry
If the diagonal of a square is 
The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.
Use the Pythagorean Theorem to find the length of the diagonal.
For the square given in the question,
Multiply the top and bottom of the fraction by one in the form of
Solve.
Simplify.
Example Question #972 : Basic Geometry
If the diagonal of a square is 
The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.
Use the Pythagorean Theorem to find the length of the diagonal.
For the square given in the question,
Multiply the top and bottom of the fraction by one in the form of
Silve.
Simplify.
Example Question #311 : Squares
Given that the area of a square is 
To find the answer to this question, the formula for area is needed.
Plugging in the numbers, we get:
This is also written as
Take the sqare root of 16, and you get:
Example Question #311 : Squares
Find the side length of a square given the area is 144.
To solve, simply use the formula for the area of a square to solve for side length. Thus,
Example Question #972 : Plane Geometry
Oscar recently built his first home, with a floor plan that is both a perfect square and has an area of 
Since both sides of a square are of equal length, we can use this formula to determine the length of both sides.
Example Question #52 : How To Find The Length Of The Side Of A Square
A cube has a volume of 
The volume of a cube is found by multiplying the width, height, and depth. Since all sides are equal, the formula would look like 
What number cubed equals 512? 8 cubed gives 512.
Example Question #52 : How To Find The Length Of The Side Of A Square
The diagonal of a square is 
To solve, set up an equation using the Pythagorean Theorem:
Example Question #51 : How To Find The Length Of The Side Of A Square
The perimeter of a square is 56cm. What is the length of the sides?
The perimeter of a square is the sum of all the sides, or 4 times the length of one side.
Example Question #56 : How To Find The Length Of The Side Of A Square
The area of a square is 36. Find the length of its sides, 
The area of a square is given by the formula
where 
We were given
so to find 
Example Question #57 : How To Find The Length Of The Side Of A Square
Know that in a Major League Baseball infield the distance between home plate and first base is 90 feet and the infield is a perfect square.
If a field designer accidentally designs an infield with an area of 3600 Square Feet, but remembers to make the infield a perfect square, what is distance between home plate and first base?
The answer can be found by knowing that the area of 3600 square feet is smaller than the typical area of 8100 square feet.
This means the length of the square's sides must be smaller than 90 feet.
Then you can check by finding the area of the squares that would be formed by the lengths that are lower than 90 feet. 60 feet is the correct answer because 60x60=3600 Square Feet.
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