How To Find The Diagonal Of A Rectangle вђ Mathsathome To determine the diagonal of a rectangle, you need to: write down the sides of the rectangle, which we denote by w and l. square these two values. that is, compute l² and w². add together the two squared values from step 2. take the square root of the result. that's it!. Correct answer: explanation: a diagonal of a rectangle cuts the rectangle into 2 right triangles with sides equal to the sides of the rectangle and with a hypotenuse that is the diagonal. all you need to do is use the pythagorean theorem: where a and b are the sides of the rectangle and c is the length of the diagonal.
How To Find The Diagonal Of A Rectangle вђ Mathsathome A diagonal cuts a rectangle into 2 right triangles, in which the sides are equal to the sides of the rectangle and with a hypotenuse. that hypotenuse is the diagonal. thus, to calculate the length of diagonals of a rectangle the formula is: d = √( l 2 w 2) where, d = diagonal of rectangle; l = length of the rectangle; w = width of the rectangle. D = 13 units [positive square root of 169] so, the length of each diagonal of the rectangle is 13 units. example 2: find the measure of length of the rectangle shown in the figure. solution: from the figure: d = 5 cm. w = 3 cm. \ (d = \sqrt {l^ {2} w^ {2}}\) [formula for the length of diagonal of a rectangle]. => d 2 = w 2 l 2, here d = diagonal, l = length, w = width. taking square root on both sides, d = √(w 2 l 2) thus we get the formula to calculate the diagonal of a rectangle. let us see how to calculate the diagonals of rectangles by solving some examples. solved examples. Taking square root on both sides, d = (b 2 l 2) l = length of the rectangle. b = breadth of the rectangle. simply substitute the values of the length and breadth in the formula to get the answer. example: in the above rectangle, length of diagonal = d = 3 2 4 2 = 9 16 = 25 = 5 units.
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