In a polygon with n vertices, the number of diagonals is equal to n(n-3)/2. There is a formula to calculate the number of diagonals for polygons of any shape, including those of any size. It was used by Euclid and Strabo to refer to a line that joins two cuboid or rhombus vertices it eventually acquired the Latin name diagonus (slanting line). The ancient Greek phrase diagonios, which means “from angle to angle,” is where the word diagonal first appeared. In a rectangle of length (l) and breadth (b), we may use the Pythagoras theorem to determine the length of the diagonal.Īs a result, d =, where d is the rectangle’s diagonal, l is its length, and b is its width. Square’s diagonal length when each side is a unit long equals a unit.Ī rectangle is split into two right-angled triangles by a diagonal. We can get the length of the diagonal (d) of a square with side (a) as a by using the Pythagoras theorem. A square is split into two right-angled triangles by a diagonal. The Pythagoras theorem can be used to determine how long a square’s diagonal should be. At the point of contact, the adjacent central angles are not equal, but the opposing central angles are in this case, AOB = COD & BOC = AOD, but AOB AOD or BOC, & BOC COD or AOB.Īny shape’s diagonal length is a function of the size of its sides.The diagonals are not parallel to one another in this case, diagonals AC and BD are not parallel.Each diagonal splits a rectangle into two identical right-angled triangles in this case, AC splits ABCD into two ABCs and an ADC, and BD splits ABCD into two BCDs and a BAD.The diagonals equally cut each other in half in this case, AC and BD do so.The two diagonals are congruent (identical in length) in this case, the diagonals are AC and BD, and AC equals BD.L stands for the rectangle’s length, w is the rectangle’s width. The formula for a rectangle’s diagonal is as follows: When the triangle ABD is subjected to Pythagoras’ Theorem, Let d represent the length of each diagonal. Consider a rectangle that is “l” length and “w” width. The Pythagorean theorem is used to derive the diagonal of a rectangle formula. Derivation of the diagonal of a rectangle: The formula for calculating a rectangle’s diagonal length is A diagonal divides a rectangle into two right triangles, each of which has a hypotenuse and sides that are equal to the sides of the rectangle while the diagonal is the hypotenuse. That hypotenuse is diagonal.A line segment that connects any two of a rectangle’s non-adjacent vertices is said to be its diagonal. In which the sides equal to the sides of the rectangle and with a hypotenuse. Step 4: Click on "Reset" to find the length of the diagonal of the rectangle for different sets of length and width.Ī diagonal cuts a rectangle into 2 right triangles.Step 3: Click on "Calculate" to find the length of the diagonal of the rectangle.Step 2: Enter the width of the rectangle.Step 1: Enter the length of the rectangle.Please follow the steps given below to find the length of the diagonal of a rectangle. How to Use the Diagonal of a Rectangle Calculator? A Rectangle is a quadrilateral in which all the four angles are 90 o, the opposite sides are parallel and equal in lengths What Is Diagonal of a Rectangle Calculator?Ī Rectangle is a quadrilateral in which all the four angles are 90 o, the opposite sides are parallel and equal in lengths, the two diagonals are of equal lengths and intersect each other in the middle.Ĭuemath's online diagonal of a rectangle calculator allows you to find the length of the diagonal of a rectangle.
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