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In square diagonal is equal to?

Updated: 4/28/2022
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13y ago

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The diagonal of a square = the length of one side x the square root of 2 (approx 1.414)

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What is a diagonal line of a sqare?

The length of a diagonal of a square with sides equal to 1 = the square root of 2 Therefore any diagonal will always be in multiples of the square root of 2


How do you find area of square if diagonal is given?

Using Pythagoras' theorem which says that the square on the hypotenuse (in this case the diagonal) is equal to the sum of the squares on the other two sides (which in the case of a square would be equal in length). so if the diagonal measured 10 units, the square on the diagonal would be 100 square units. And as this = 2*the squares on the other sides, the square on one side would be 100/2 = 50 square units. As a square has sides of equal length the square on one side is actually the area of the square. i.e. the area of a square with a diagonal of 10 units is 50 square units. or generically the area of a square with a diagonal of length 'x' = (x2)/2


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.


What is the diagonal of a 20ft x 20ft square?

Since a square has right angles, you can use the Pythagorean Theorem to calculate the diagonal. Specifically, the diagonal of a square is equal to the length of a side, multiplied by the square root of 2.


If you have height and diagonal measurement of a rectangle how do you find width?

The square of the diagonal minus the square of the height would equal the square of the width. Therefore the square root of the solution to the above problem would be the width


Diagonal of a square?

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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.


What is the area of a square whose side is equal to the diagonal of a square whose area is 108 meter per square?

The area of square is : 11664.0


How do you find the edge of a cube if the measure of the diagonal is given?

The longest diagonal in a cube is equal to the length of the edge, multiplied by the square root of 3.


Do the diagonals of a square cross at right angle?

yes and they intersect at 90degree each diagonal divides the other diagonal in 2 equal parts


What is the line called that divides the square in two equal triangle?

A bisector - or diagonal


A square is incribed in a circlethe diameter of the circle is congruent to?

The diameter of the circle is equal to the diagonal of the square, or the (side of the square) times the (square root of 2).