Q: How do you find length of each diagonal of a rectangle?

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To find the length of a diagonal in a rectangle, use the Pythagorean method. Diagonal length = square root(length squared + height squared).

If they are the dimensions of a rectangle then use Pythagoras' theorem to find the length of the diagonal.

-- Multiply the rectangle's length by itself. ('square' the length) -- Multiply the rectangle's width by itself. ('square' the width) -- Add the two results. -- Find the square root of the sum. It is the length of the diagonal.

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 square the width and subtract it from the diagonal squared. Then find the square root of this number, this number is now the length.

Related questions

To find the length of a diagonal in a rectangle, use the Pythagorean method. Diagonal length = square root(length squared + height squared).

The diagonal is 3.61cm

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

To find the diagonal length of a rectangle use Pythagoras' theorem for a right angle triangle.

It depends on what information you do have. The length and area, the length and diagonal, the length and perimeter, etc. Each set generates a different answer.

If they are the dimensions of a rectangle then use Pythagoras' theorem to find the length of the diagonal.

-- Multiply the rectangle's length by itself. ('square' the length) -- Multiply the rectangle's width by itself. ('square' the width) -- Add the two results. -- Find the square root of the sum. It is the length of the diagonal.

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).

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 square the width and subtract it from the diagonal squared. Then find the square root of this number, this number is now the length.

18.9 feet

18.9 feet