The diagonal of the rectangle divides the rectangle into two right-angled triangles with a hypotenuse. There are two diagonals of a rectangle that are of the same length and divide the rectangle into two equal parts. The diagonal of a rectangle is a line segment that is drawn from the opposite vertices of the rectangle and bisect the other diagonal. The two diagonals of rectangle bisect each other.įAQs on Diagonals of Rectangle What is the Diagonal of Rectangle?.We can calculate the length of the diagonal of rectangle using the formula, d = √( l 2 + w 2).The diagonal of rectangle is a line segment joining the non-adjacent vertices.Thus, the diagonal of a rectangle formula is: √( l 2 + w 2). Taking square root on both sides, √(d 2) = √( l 2 + w 2). Applying Pythagoras theorem to the triangle so formed, d 2 = l 2 + w 2, where d is diagonal, l is length and w is the width of the rectangle. Each diagonal acts as the hypotenuse for the right triangles so formed. The rectangle is called a square if its diagonals bisect each other at right angles as the diagonals of a rectangle do not bisect the respective vertex angles into equal angles.Ī diagonal divides a rectangle into two congruent triangles, that too right triangles with their hypotenuse being the same. They form linear pairs of angles such as obtuse angle + acute angle at each of the diagonal. The diagonals of a rectangle are of equal length and they bisect each other but do not form right angles at the center.
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