Q&A for How to Calculate a Diagonal of a Square

First square the diagonal's length. Divide that by two. Then find the square root of that last number. That's the side of the square.

Since you know the length of one side (24) you can use method 1: d = s x sqrt*2 d = 24 x 1.414 d = 33.936

You'll know if an angle is right angle if it is 90 degrees.

A 15 x 7 foot area is not a square. You can still find the length of the diagonal by using the Pythagorean Theorem: 15^2 + 7^2 = c^2, where c is the length of the diagonal. Thus: 15^2 + 7^2 = c^2 225 + 49 = c^2 274 = c^2 sqrt*274 = sqrt*c^2 16.55 = c

Since you know the length of one side of the square (4), you can use method 1. d = s x sqrt*2 d = 4 x 1.414 d = 5.565

Since you know the length of one side (8 feet), you can use method 1: d = s x sqrt*2 d = 8 x 1.414 d = 11.312

Multiply the length by the width. If they only give you the length or the width, multiply that same number by itself, (for example: the length is 5 in, 5*5=25in2). This process only works with squares. If the problem only gives you the area and the length or width, you divide the area by the length or width.

Double the area. Then find the square root of that number. That's the diagonal.

This is not a square. However, you can still use Pythagorean's Theorem to find the length of the diagonal. Diagonal length = D = sq. root of (213^2 + 200^2) = sq. root (45369 + 40000) = sq. root (85369) = 292.2.

Multiply it by itself. For example, 6² = (6)(6) = 36.

See the Wikipedia article on the Pythagorean theorem for a full treatment of the many proofs of this formula.

No, because a rhombus has diagonals of different lengths, while a square's diagonals are the same length. In either case we use the Pythagorean Theorem to find the diagonals. To find a diagonal of a rhombus, you would have to know the length of the other diagonal and of a side (or the perimeter). The formula is: D = 2√[s² - (d/2)²], where D is one diagonal, d is the other diagonal, and s is a side.

Use the Pythagorean theorem.

√(8² + 6²).

See the wikiHow article, Calculate a Square Root by Hand .

Pythagorean's Theorem. Use the diagonal to find the approximate length of one side of the square. Being a square, all sides will be the same.

Square a side, double that, and then find the square root of that number.

If a square's perimeter has the same numerical value as its area, its side, x, must measure 4 units in length (because 4 is the only value of x for which 4x = x²). The length of a square's diagonal is √2 times the length of its side, so a square with a side of 4 units will have a diagonal of 4√2 = 5.66 units.

See Method 1 of Find the Measurement of the Diagonal Inside a Rectangle .

The diagonal is n√2 (n multiplied by 1.414).

Measuring the diagonal is the only option. It cannot be calculated without any of that information.

That's a square-root symbol.

A square with an area of 2 hectares contains 20,000 square meters. The length of each side is the square root of 20,000, or 141.42 meters. The length of either diagonal is the square root of twice the square of 141.42, or 200 meters.

By the Pythagorean Theorem, l = √(d² - w²), where l is the length, w is the width, and d is either diagonal. Therefore, l = √(23.2² - 12.5²) = √(538.24 - 156.25) = √381.99 = 19.5 meters.

Each side is one-fourth of the perimeter. That's 15. Either diagonal is the square root of twice the square of a side. √[(2)(15)(15)] = √450 = 21.2.

Each side of a square is one-quarter of its perimeter. So each side here is (x+3) dm.

If you mean that the square is perfectly inscribed within a circle, each of the square's diagonals would be equal to the circle's diameter.

It sounds like you have no information about the square. In such a case, you cannot find the length of the diagonal.