VIDEO: How to calculate the diagonal of a rectangle
Calculating a rectangle is one of the simpler tasks in the mathematics. Both the area and the perimeter are quickly calculated. It is a little more difficult to calculate the diagonal of a rectangle.
This is how the diagonal of a rectangle is calculated
- The diagonal of a rectangle is calculated using the Pythagorean theorem. That sounds a bit complicated at first, but it isn't. The Pythagorean theorem says that in a right triangle the sum of the two leg squares is equal to the hypotenuse square.
- Now you are probably wondering what a right triangle has to do with a rectangle? But that is answered quickly. If you draw a diagonal in a rectangle, you will get two identical ones Triangles.
- The length and width of the rectangle form the two legs and the diagonal represents the hypotenuse.
- You then only need to calculate the length and width of the rectangle as a square and add these two values. You then only need to pull the root of the result. Then you have calculated the length of the diagonal.
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An example for calculating the diagonals in the rectangle
- Imagine you have a rectangle with a side length a of 10 cm. The side length b should be 7 cm in this example. The diagonal is generally denoted by the letter d.
- In this example the diagonal d would be the square root of a² + b². 10² = 100 and 7² = 49. That means the diagonal would be as long as the square root of 149. The diagonal would therefore be 12.206 cm long.
- How many places after the decimal point the diagonal of a rectangle is calculated depends on the respective requirement.
Using Pythagorean theorem to calculate the diagonal of a rectangle will give you a much more accurate result than measuring it.
