If by that you mean knowing only the diagonal and the width, then by the formula a2+b2=c2, where a is the length, b the width and c the diagonal. To find the width b, you need to calculate sqrt(c2-a2). For example, the width of a rectangle with length 3 and diameter 5 is sqrt(52-32)=4
With Pythagoras' theorem: diagonal2- length2 = width2
You square the width and subtract it from the diagonal squared. Then find the square root of this number, this number is now the length.
the width is always shorter than the length. other than that, you would require more information about the rectangle (such as the area or the diagonal measurement) to ascertain the width
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.
A rectangle does not have a diameter, only circles or similar obects have diameters. A rectangle has a diagonal which is obtained by joining two opposite corners. Any two adjacent sides of the rectangle together with the diagonal form a right angled triangle and so the length of the diagonal can be derived using Pythagoras's theorem.
With Pythagoras' theorem: diagonal2- length2 = width2
You square the width and subtract it from the diagonal squared. Then find the square root of this number, this number is now the length.
You CAN'T calculate the perimeter of a rectangle, knowing only its diagonal. You do need some additional information about the rectangle - such as its width, or its length, or perhaps the length/width ratio.
the width is always shorter than the length. other than that, you would require more information about the rectangle (such as the area or the diagonal measurement) to ascertain the width
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.
You can't. Suppose for instance your rectangle is 1xA, then the diagonal length is sqrt(1+A**2). But if your rectangle is sqrt(A)xsqrt(A) then your diagonal length is sqrt(2*A). The only thing one can say for sure is that the diagonal length is at least sqrt(2*A).
A rectangle does not have a diameter, only circles or similar obects have diameters. A rectangle has a diagonal which is obtained by joining two opposite corners. Any two adjacent sides of the rectangle together with the diagonal form a right angled triangle and so the length of the diagonal can be derived using Pythagoras's theorem.
By using the trigonometric ratios of Sine and Cosine. The diagonal forms the hypotenuse of a right angled triangle with the length and width of the rectangle forming the other two sides of the triangle - the adjacent and opposite sides to the angle. Then: sine = opposite/hypotenuse → opposite = hypotenuse x sine(angle) cosine = adjacent/hypotenuse → adjacent = hypotenuse x cosine(angle)
Ellipse * * * * * At right angles to the length, it would be a circle. Along the length it would be a rectangle. Only a diagonal cross section would be an ellipse.
Suppose the width is W and the diagonal is D.Then, by Pythagoras's theorem, the length, L, is given by L = sqrt(D^2 - W^2).And then, area = L*W.
To find the area of a rectangle, you multiply the length by the width (one side by a different side) Or you could count how many centimeter squares make up the rectangle
You don't. A rectangle doesn't have a hypoteneuse, only a right-angled triangle has a hypoteneuse. As for the diagonal of a rectangle, you can draw it from any vertex to the opposite vertex. It's length is the square root of the sum of the squares of the longer and the shorter side-lengths.