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 know its dimensions then use Pythagoras' theorem to find the length of its diagonals.
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"
Let x equal the length of the square. Let y equal the length of the diagonal. Two times (x squared) = (y squared).Answer:You have to use Pythagorus' relationship of the sides of a right angled triangle to the hypotenuse.It states that the sum of the squares of the sides (A2 + B2 ) equals the square of the hypotenuse (C2):A2 + B2 = C2In the case given, the hypotenuse is the diagonal of the square and the sides are all equal soA2 + A2 = C2or 2A2 = C2reorganizing to get the length of the diagonal on one side:SQRT(C2) = SQRT (2A2) = SQRT 2 x SQRT A2or C = SQRT 2 x AThe side is therefore always the length of the diagonal divided by the square root of 2 (approximately 1.1442)
You need to know more...either the angle or the length of one of the sides.
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.
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 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).
If it's a rectangle and you know its length and height then use Pythagoras' theorem to find the length of its diagonal
If you know the length of the side, multiply it by the square root of 2.
If you know its dimensions then use Pythagoras' theorem to find the length of its diagonals.
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"
Let x equal the length of the square. Let y equal the length of the diagonal. Two times (x squared) = (y squared).Answer:You have to use Pythagorus' relationship of the sides of a right angled triangle to the hypotenuse.It states that the sum of the squares of the sides (A2 + B2 ) equals the square of the hypotenuse (C2):A2 + B2 = C2In the case given, the hypotenuse is the diagonal of the square and the sides are all equal soA2 + A2 = C2or 2A2 = C2reorganizing to get the length of the diagonal on one side:SQRT(C2) = SQRT (2A2) = SQRT 2 x SQRT A2or C = SQRT 2 x AThe side is therefore always the length of the diagonal divided by the square root of 2 (approximately 1.1442)
You must know something else. Like an angle. Or coordinates of the vertices on an x-y plane. And, of course the length of a side. If you know an angle, then you know them all, adjacent angles are supplementary. use law of cosines to find the length of a diagonal. 1/2 of the diagonal is the distance to the opposite vertices. Use law of cosines with the adjacent angle to find the length of the 2nd diagonal. 1/2 of this 2nd diagonal is the distance from the center to the other two vertices.
You need to know more...either the angle or the length of one of the sides.