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Multiply by the square root of 2.

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โˆ™ 2012-02-18 02:32:57
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Q: If you know the length of a side of a quare how can you determine the length of the diagonal?
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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 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 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.


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.


When you know the sum of lengths of diagonal of a square how to find each diagonal?

Since there are only two diagonals which are of equal length, the length of each is half the sum.


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.


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).


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 length of each diagonal of a rectangle?

If you know its dimensions then use Pythagoras' theorem to find the length of its diagonals.


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.


How long is the diagonal of a rectangle with dimensions 7in by 10in?

You use the pythagorous theorm to calculate the hypotenuse of the triangle, which is the same line as the diagonal. 7(7)+ 10(10)= diagonal x diagonal 149= diagonal x diagonal Diagonal= square root of 149: this approximates to 12.207in Visit quickanswerz.com for more math help/tutoring! Consider a rectangle with dimensions 7 inches by 10 inches. Let ABCD be the rectangle. We need to find the length of the diagonal. We know that the diagonals of a rectangle are same in length. So, it is enough to find the length of the diagonal BD. From the rectangle ABCD, it is clear that the triangle BCD is a right angled triangle. So, we can find the length of the diagonal using the Pythagorean Theorem. BD2 = BC2 + DC2 BD2 = 102 + 72 BD2 = 100 + 49 BD2 = 149 BD = √149 BD = 12.207 So, the length of the diagonal is 12.21 inches. Source: www.icoachmath.com


If a square is inscribed in a circle the diameter of the circle is congruent to?

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.


Do you know how to determine the length and width of a rectangle?

measure them.


Are there another formulae in solving th diagonals of the rectangles?

Other than what? It really all depends on what is given. For example:If you know the length of one diagonal, the other is just as long.If you know the length and width of the rectangle, use Pythagoras' formula for the diagonal.If you know one of the sides of the rectangle, and an angle, use some basic trigonometry to find the diagonal.


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"


What is the area of quadrilateral with 4 unequal sides?

You need to know the lengths of the sides and at least one angle or the length of a diagonal.


How do you find the length of a diagonal with the perimeter?

If you know the lengths of the four sides that make up the rectangle (I assume this question is referring to a rectangular object) you can use the pythagorean theorem (a^2 + b^2 = c^2) to solve for the length of the diagonal which is represented in the formula by the letter c.


If the diagonal measurement of a rectangle is 46 what is the height and width?

You can't tell. There are an infinite number of sets of length and width that havea diagonal of 46.The only thing we know for sure is that whatever they are, the square of the lengthand the square of the width add up to 2,116.


How would you construct a trapezoid given the length of the top and the bottom and the length of the diagonal?

Quite simply providing that it is an isosceles trapezoid otherwise you'll need to know the lengths of the 2 diagonals


How do you find the sides of a rectangle when you know the diagonal?

You can use Pythagoras theorem except for the fact that there's lots of problems with this. Lots of different rectangles can have a same length of diagonal. So I guess you should be a bit more specific.


What is the area of a desk?

You need to know the length and width of the desk before you can determine the area. Multiply the length by the width to get your answer (length x width = area).


How do you find the area of a square with a diagonal of 10?

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


How do you find the perimeter of a triangle if you only know the angles and one of the lengths?

The law of tangents can be used to determine another side length; the sine rule can then be used to determine the third side length.