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How do you find the length of a diagonal of a rectangle?

Author

Jessica Hardy

Updated on February 15, 2026

How do you find the length of a diagonal of a rectangle?

If the length and width of a rectangle are 15.1 by 13.0, then you can use the pythagorean theorem to calculate the length of the diagonal since it forms a right triangle. The pythagorean formula is a^2 + b^2 = c^2." Let a=15.1 and b=13.

Beside this, how do you find the length of the diagonal of a square?

To find the length of the diagonal of a square, multiply the length of one side by the square root of 2: If the length of one side is x The diagonals of a square intersect (cross) in a 90 degree angle. This means that the diagonals of a square are perpendicular.

Additionally, what is the diagonal of a triangle? To find the length of the diagonal (or hypotenuse) of a right triangle, substitute the lengths of the two perpendicular sides into the formula a2 + b2 = c2, where a and b are the lengths of the perpendicular sides and c is the length of the hypotenuse.

Also question is, how do you find the length of a rectangle?

Explanation: To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.

What is the diagonal of a 10x10 square?

Finding the Diagonal of a Square

Square SizeDiagonal
9"12 3/4"
9 1/2"13 3/8"
10"14 1/8"
10 1/2"14 7/8"

How do you find the length of the diagonal of a parallelogram?

Find the length of diagonal . Explanation: To find the length of the diagonal, we can consider only the triangle and use the law of cosines to find the length of the unknown side. Where is the length of the unknown side, and are the lengths of the known sides, and is the angle between and .

How do you calculate the diagonal of a triangle?

To find the length of the diagonal (or hypotenuse) of a right triangle, substitute the lengths of the two perpendicular sides into the formula a2 + b2 = c2, where a and b are the lengths of the perpendicular sides and c is the length of the hypotenuse.

What is the diagonal of a rectangular prism?

Explanation: To find the diagonal distance of a prism, you can use the formula: displaystyle d = sqrt{w^{2} + l^{2} + h^{2}}, where = height; = width, and = length.

What is the length of the diagonal of a square of side 10cm?

Diagonal of square is 10√2 cm.

What is the diagonal of a 24 inch square?

Finding the Diagonal of a Square
Square SizeDiagonal
16"22 5/8"
16 1/2"23 3/8"
17"24"
17 1/2"24 3/4"

What is the diagonal of a square called?

What is the name of diagonal of the square? It's just called a diagonal. However, since it divides the square into two congruent isosceles right triangles, it is the hypotenuse that is common to both of these triangles. So you can call the diagonal a hypotenuse if you use it in the proper context.

What is the diagonal of a 12 inch square?

Finding the Diagonal of a Square
Square SizeDiagonal
8"11 3/8"
8 1/2"12"
9"12 3/4"
9 1/2"13 3/8"

What is the length of the diagonal of a square with sides of length 7?

The length of the diagonal of a square with sides 7 cm long is equal to the length of the hypotenuse of an isosceles right triangle (45–45–90 triangle) with legs 7 cm long. In a 45–45–90 right triangle, the length of the hypotenuse is sqrt(2) times the length of a leg, so the diagonal of the square is 7sqrt(2) cm long.

Is the diagonal of a square equal to its side?

The diagonal of a square is equal to the length of one of the sides of the square times , or . As you can see here, the diagonal divides the square into two isosceles right triangles, and the diagonal is the hypotenuse of the triangles.

What is the diagonal of an 8 foot square?

Finding the Diagonal of a Square
Square SizeDiagonal
7"9 7/8"
7 1/2"10 5/8"
8"11 3/8"
8 1/2"12"

Which side of a rectangle is the length?

According to the Webster's Ninth Collegiate Dictionary, length means "the longer or longest dimension of an object." So the length of a rectangle is the longest side whether it is vertical or horizontal.

What is length formula?

Determining Length or Width When You Know the Other
The area of a rectangle (A) is related to the length (L) and width (W) of its sides by the following relationship: A = L ⋅ W. If you know the width, it's easy to find the length by rearranging this equation to get L = A ÷ W.

What is the formula for length and width?

The formula is: A = L * W where A is the area, L is the length, W is the width, and * means multiply.

Where is the length of a rectangular prism?

You either measure it, or if you know the volume as well as the height and width, then the length is volume/(height x width). In most 3-D drawings I have seen, the length is the left to right measurement, height is the up/down measurement, and width is the diagonal measurement.

What is the formula of rectangle?

Area is measured in square units such as square inches, square feet or square meters. To find the area of a rectangle, multiply the length by the width. The formula is: A = L * W where A is the area, L is the length, W is the width, and * means multiply.

How do you find the length of a rectangle if you only have the width?

To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.

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