To find the length of the diagonal of a square, use the Pythagorean Theorem (a^2 + b^2 = c^2) ...
You know that "a" and "b" are the same in this case, so it becomes
square_root of 2 x (side_length2)
... which you can simplify as "multiply by the square root of 2"
To find the length of each diagonal of a square, divide the sum of the diagonal lengths by 2. Since a square has two diagonals of equal length, this division will give you the length of each diagonal.
If you are familiar with Pythagoras's theorem you will know that it is 5x5 + 5x5 => 25 + 25=50 find the square root of fifty and you will have your answer
Multiply by the square root of 2.
If the only known fact is the length of the diagonal then the width and length of the rectangle CANNOT be determined. The diagonal could be that of a square, or of a rectangle that is very long but quite narrow. Consequently at least one more fact is required such as; the dimension of either the length or the width, or the angle that the diagonal makes to the base of the rectangle or even the area of the rectangle.
If you know its dimensions then use Pythagoras' theorem to find the length of its diagonals.
Divide the length of the diagonal of a square by 1.4142 (which is the square root of 2) to find the length of a side. Similarly, to find the length of the diagonal of a square, multiply the length of a side by 1.4142.
To find the length of each diagonal of a square, divide the sum of the diagonal lengths by 2. Since a square has two diagonals of equal length, this division will give you the length of each diagonal.
If you know the length of the side, multiply it by the square root of 2.
If you are familiar with Pythagoras's theorem you will know that it is 5x5 + 5x5 => 25 + 25=50 find the square root of fifty and you will have your answer
You need to use trigonometry cosine (angle) = length/diagonal diagonal = length/cos(angle)
If you know the length of the sides but not the diagonal, you can use the Pythagorean Theorem.
Multiply by the square root of 2.
If the area of a square is 100, then its side length is 10. If we draw in a diagonal, then we know by the Pythagorean formula that the diagonal's length is sqrt(10^2 + 10^2) = sqrt(200) = 10*sqrt(2).The square root of 2 is approximately 1.414, so the diagonal's length is approximately 10*1.414 =14.14* The diagonal of any square is the side length times (sq rt 2).
The diameter of the circle is congruent to the length of the diagonal of the inside square. If you know the length of one side of the square, you can use pythagorean's theorem to solve for its diagonal (hypotenuse) and thusly the square's diameter.
If the diagonal is 10 we know all sides are equal so from pythagoraen theorem each side is 7.07 inch length Area = 7.07 x 7.07 = 50
If the only known fact is the length of the diagonal then the width and length of the rectangle CANNOT be determined. The diagonal could be that of a square, or of a rectangle that is very long but quite narrow. Consequently at least one more fact is required such as; the dimension of either the length or the width, or the angle that the diagonal makes to the base of the rectangle or even the area of the rectangle.
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