![]() ![]() How to Find the Length of Rectangle Using the Diagonal of a Rectangle Formula? Step 5: Applying Pythagoras theorem, d = √( l 2 + w 2).Step 4: Consider any one of the triangles, its two sides will be 'l' and 'w' and the diagonal 'd' of the rectangle will be its hypotenuse.Step 3: After constructing the diagonal, the rectangle gets divided into two right triangles.Step 2: Let the length of the diagonal be "d".Step 1: Consider a rectangle of length "l" and width "w".The diagonal of a rectangle formula can be derived using the Pythagoras theorem. How To Derive the Diagonal of a Rectangle Formula? The formula is given as, d = √( l 2 + w 2), where, l is the length of the rectangle and w is the width of the rectangle. In the diagonal of a rectangle formula, 'w' refers to the width of the rectangle. What Is 'w' in the Diagonal of a Rectangle Formula? Step 2: Put the values in the formula, d = √( l 2 + w 2).Step 1: Identify the length and width of the given rectangle.The diagonal of a rectangle formula is used to find the diagonal of a rectangle when two of its dimensions are given, How To Use the Diagonal of a Rectangle Formula? In math, the diagonal of a rectangle formula gives the length of the diagonal when the dimensions of the rectangle are known which include the measure of the two adjacent sides of the rectangle. The length of the rectangle, l = 4 units.Īnswer: The length of each diagonal = 5 units.įAQs on Diagonal of a Rectangle Formula What Is the Diagonal of a Rectangle Formula in Math? Determine the length of each diagonal of a rectangle. The width of the television, w = 16 units.Īnswer: The size (diagonal) of the given television = 43.08 inches.Įxample 3: The dimensions of a rectangle are 4 units and 3 units. The length of the television, l = 40 units. To find: The size (diagonal) of the given television. Then find the size of the television whose dimensions are 16 inches and 40 inches. Using the diagonal of a rectangle formula,Īnswer: The length of each diagonal = 10 units.Įxample 2: The size of the screen of a television is the length of its diagonal. The length of the rectangle, l = 8 units. To find: The length of each diagonal of the given rectangle. Math will no longer be a tough subject, especially when you understand the concepts through visualizations.īook a Free Trial Class Examples Using Diagonal of Rectangle FormulaĮxample 1: Find the length of each diagonal of a rectangle of length 8 units and width 6 units. Let us see the applications of the diagonal of rectangle formula in the following section. Thus, the diagonal of a rectangle formula is: Let the length of each diagonal be "d".Īpplying Pythagoras theorem to the triangle ABD, Let us consider a rectangle of length "l" and width "w". The diagonal of a rectangle formula is derived using Pythagoras theorem. The length of diagonals of a rectangle can be calculated as, The lengths of both AC and BD are the same. In the following rectangle, AC and BD would be the diagonals. 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. You can see that the lengths of both AC and BD are the same. In the following rectangle, AC and BD are the diagonals. The diagonal of a rectangle is a line segment that joins any two of its non-adjacent vertices. What is the Diagonal of Rectangle Formula? Let us learn the diagonal of the rectangle formula along with a few solved examples. The formula for the diagonal of a rectangle gives the length of the diagonal when the dimensions of the rectangle are known. Before going to know what is the diagonal of a rectangle formula, let us understand what is meant by the diagonal of a rectangle. ![]()
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