The square is one of the simplest geometrical figures in respect of calculation of its parameters - lengths of the parties and diagonals, the area and perimeter. It is defined by the fact that unlike other polygons, sizes of all its corners are always known and also it is enough to know length of only one party. Finding of length of the party of a square on the known length of diagonal, both in a general view, and with practical calculations does not represent complexity.
Instruction
1. Use Pythagorean theorem which algebraic formulation claims that the sum of squares of lengths of legs is equal in a rectangular triangle to a hypotenuse length square: a² + b² = with². As diagonals of a square divide it into two such rectangular triangles at which besides also lengths of legs are identical, it is possible to formulate such property of a square as geometrical figure: the square of length of diagonal is equal to the doubled square of length of the party (2a²=c²). From this follows that length of the party is equal to a square root from a half of a square of length of diagonal: a= √ (with²/2).
2. Use the calculator which is built in the Google search engine for practical calculations for calculation of length of the party of a square. For example, if the known length of diagonal is equal to 15 centimeters, then having passed to the website of the searcher, enter such inquiry: "a root from ((15 in a square)/2)". If you got used to use a symbol ^ for designation of operation of exponentiation and sqrt for designation of operation of extraction of a square root, then Google correctly will understand also such inquiry: "sqrt (15^2/2)". Anyway the answer will be identical: length of the party of a square is equal 10.6066017 centimeters.
3. Use, for example, the program calculator from a standard set of programs of the Windows operating system as an alternative way for calculation of length of the party of a square. The reference to its start is hidden quite deeply in the main menu of a system - after click on the Start-up button it is necessary to open the section "All Programs", to pass into the subsection "Standard", to click the section "Office" and to select the Calculator item. Faster way is to press a combination of the keys WIN + R, to enter the calc team and to press the Enter key.
4. Enter the known length of the party, then press a key with an asterisk and Enter - so you execute operation of squaring. Then press a key with a virgule, enter the two and press Enter. After that click the button with the inscription sqrt and you will see the required length of the party of a square - 10.606601717798212866012665431573 centimeters.