A diagonal calculator helps you to determine the length of the longest possible straight line that can be drawn within a shape, connecting opposite corners. It is typically used to find diagonal of a rectangle’s measurements in geometric shapes like rectangles and squares.
In Maths,
A rectangle is a two-dimensional and four-sided polygon shape with the same length on both sides and all the angles at 90 degrees.
Whereas,
The diagonal of a rectangle is a straight line that connects two opposite corners or vertices of the rectangle. It passes through the inside of the rectangle and divides it into two congruent right triangles.
Pythagorean theorem states that the square of the diagonal's length is equal to the sum of the squares of the rectangle's length and width. The diagonal length of a rectangle can easily be calculated using the Pythagorean theorem.
There are some important parameters that play a crucial part in calculating diagonals such as:
You can use these parameters to derive the diagonal of a rectangle’s equation.
Here is the diagonal formula to find the accurate results:
Diagonal = √(l² + w²)
Where,
Here’s a real-life example that will help you in getting the answer to the question of how to find the diagonal of a rectangle.
Let's say you have a rectangular picture frame, and you want to find the diagonal measurement of a rectangle to choose the right-sized picture for it. You can also find these values from the diagonal size calculator.
Suppose the measurements of the length and width of the picture frame are as follows:
Length (l) = 20 inches
Width (w) = 12 inches
Use the formula for the diagonal of a rectangle: Diagonal = √(l² + w²)
Diagonal = √(20² + 12²)
Diagonal = √(400 + 144)
Diagonal = √544
Diagonal = 23.32
So, the diagonal of your rectangular picture frame is approximately 23.32 inches. This helps you select a picture that fits nicely within the frame without any guesswork.
Using a diagonal calculator doesn't require an advanced degree in mathematics. Here's how you can quickly calculate by having some inputs such as:
What to do:
What you get:
The answer is “Two”. Rectangles have four sides, so they have two diagonals. The same as a square so must keep the use of a free rectangle diagonal calculator.
In our everyday life, we see most things as rectangular like TVs, computers, mobile phones, laptops, CPUs, notice boards, tables, books, walls, magazines, tennis courts, etc.
In rectangles, the diameter is equal to the length of a diagonal or two long lines joining opposite corners. There are two identical right-angle triangles that are formed when a rectangle is divided by a diagonal.
Wikipedia.org: Diagonal, Polygons
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