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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.


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 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)


How to find the area of a rectangle from diagonal?

You need to know more...either the angle or the length of one of the sides.

Related Questions

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.


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.


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 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)


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.


How to find the area of a rectangle from diagonal?

You need to know more...either the angle or the length of one of the sides.