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Diagonal of Rectangle Calculator, a valuable tool for anyone exploring the dimensions of rectangles. Discover how to find the diagonal of a rectangle effortlessly with our user-friendly calculator, designed to simplify your mathematical tasks.

The diagonal of a rectangle is the line segment connecting opposite corners or vertices. It is longer than the sides and can be calculated using the Pythagorean theorem

Calculating the diagonal of a rectangle helps determine the distance between opposite corners, providing a key measurement in geometry and design.

Use the diagonal length when designing structures, determining diagonal bracing, or ensuring accurate measurements for square footage in construction and architecture.

To calculate the diagonal of a rectangle, use the formula (d = sqrt(l2 + w2) ) or utilize an online calculator for quick and accurate results.

Formula:The Diagonal of a Rectangle (d) can be calculated using the Pythagorean Theorem:

`d =$\sqrt{\left({l}^{2}\text{+}{w}^{2}\right)}$`

Where

*l * is the length of rectangle

*w * is the width of rectangle

Example 1:

For a rectangle with length (l = 6) units and width (w = 8) units,

Solution:

Using the formula `d = $\sqrt{\left({l}^{2}\text{+}{w}^{2}\right)}$`

`d = $\sqrt{\left({6}^{2}\text{+}{8}^{2}\right)}$`

`d = $\sqrt{\left({\mathrm{36}}^{}\text{+}{\mathrm{64}}^{}\right)}$`

d = 10 units

Example 2:

For a rectangle with length (l = 10) units and the diagonal is (d = 13) units.

Solution:

Using the formula `w = $\sqrt{\left({d}^{2}\text{-}{l}^{2}\right)}$`

`w = $\sqrt{\left({\mathrm{13}}^{2}\text{-}{\mathrm{10}}^{2}\right)}$`

`w = $\sqrt{\left({\mathrm{169}}^{}\text{-}{\mathrm{100}}^{}\right)}$`

w = 8.30 units

Example 3:

For a rectangle with diagonal is (d = 15) units, and the width is (w = 9) units

Solution:

Using the formula `l = $\sqrt{\left({d}^{2}\text{-}{w}^{2}\right)}$`

`l = $\sqrt{\left({\mathrm{15}}^{2}\text{-}{9}^{2}\right)}$`

`l = $\sqrt{\left({\mathrm{225}}^{}\text{-}{\mathrm{81}}^{}\right)}$`

`l`

= 12 units

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