![]() Thus, a rectangle has four interior angles, each of which is equal to 90°. Area of Squares and Rectangles WorksheetsįAQs on Angles of Rectangle What Are the Angles of Rectangle in Geometry?Ī rectangle has two pairs of equal opposite sides and four equal angles.Difference Between Square and Rectangle.The length of the diagonals with sides a and b can be obtained using the Pythagoras theorem, diagonal d = √( a² + b²).The interior angles of a rectangle, as well as the square, are right angles.A square can also be referred to as a rectangle with two opposite sides having an equal length.Thus, the diagonal of a rectangle formula is: √(a² + b²). 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 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, obtuse angle + acute angle, as at each of the diagonal. The diagonals bisect each other but do not form right angles at the center. ![]() The diagonals of a rectangle are of equal length and they bisect each other.
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