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If you know the length of a side of a quare how can you determine the length of the diagonal?
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∙ 12y ago
Multiply by the square root of 2.
Wiki User
∙ 12y ago
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When you know the sum of lengths of diagonal of a square how to find each diagonal?
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.
How do you find length of each diagonal of a rectangle?
If you know its dimensions then use Pythagoras' theorem to find the length of its diagonals.
How can you determine the side length of square if you know its diagonal length?
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)
If you know the length of a side of a square how do you find the length of its diagonal?
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"
How do you find the width and length of a rectangle if you only know the diagnol?
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.
How do you find the diagonal of a rectangle if you know the length and the angle?
You need to use trigonometry cosine (angle) = length/diagonal diagonal = length/cos(angle)
How can you find the length of a diagonal without measuring i?
If you know the length of the sides but not the diagonal, you can use the Pythagorean Theorem.
How do you find the side of a square if you know its diagonal?
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.
When you know the sum of lengths of diagonal of a square how to find each diagonal?
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.
How do you find lengths of sides of square when know length of its diagonal?
A square has 4 sides of equal length (say x). The diagonal length = x * (2)^0.5 = 1.414x, from Pythagorus's theorem. So, dividing the diagonal length by the square root of 2 will be the answer.
The area of a square is 100 The length of its diagonal is approximately?
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).
What is the length of one diagonal if the base a measure 16 and the base b is 24 and has the area of 40 and a ratio of 2 is to 3?
If it's a rectangle and you know its length and height then use Pythagoras' theorem to find the length of its diagonal
How do you find the diagonal of a square?
If you know the length of the side, multiply it by the square root of 2.
How do you find length of each diagonal of a rectangle?
If you know its dimensions then use Pythagoras' theorem to find the length of its diagonals.
How can you determine the side length of square if you know its diagonal length?
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)
If you know the length of a side of a square how do you find the length of its diagonal?
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"
How do you find the distance between the corner and the center of a rhombus?
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.
