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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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If you know the length of the sides but not the diagonal, you can use the Pythagorean Theorem.

You need to use trigonometry cosine (angle) = length/diagonal diagonal = length/cos(angle)

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.

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.

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

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 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 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.

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

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.

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

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.

measure them.

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.

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"

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

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.

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.

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

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.

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).

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

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.