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Finding length of diagonal of a rectangle
Finding length of diagonal of a rectangle










Area of rectangle formula: If we know the length and breadth of a rectangle, we can find the area using the formula, Area of rectangle = Length × Breadth.A few rectangle formulas are given below: All rectangles are parallelograms but all parallelograms are not rectangles.Ī rectangle has a few basic formulas which can be noted in order to find the missing or unknown values.

finding length of diagonal of a rectangle

Since the sides of a rectangle are parallel, it is also called a parallelogram.The length of the diagonal with sides a and b is, diagonal = √( a 2 + b 2). The length of the diagonals can be obtained using the Pythagoras theorem.The sum of all interior angles is 360°.The interior angle of a rectangle at each vertex is 90°.The opposite sides of a rectangle are equal and parallel to each other.Some of the important properties of a rectangle are given below. A rectangle can have a wide range of properties. They form linear pairs of angles, obtuse angle + acute angle, as at each of the diagonal.A rectangle is a closed figure which has four sides and the angle formed by adjacent sides is 90°. The diagonals bisect each other but do not form right angles at the center. The diagonals of a rectangle are equal in measure and bisect each other.

#FINDING LENGTH OF DIAGONAL OF A RECTANGLE HOW TO#

How To Find Diagonal Angles of a Rectangle? Thus, the opposite angles of a rectangle are equal and measure 90°. The opposite angles in any quadrilateral are non-adjacent angles formed by two intersecting lines and we know that the adjacent sides of a rectangle are perpendicular. How To Prove All Angles of a Rectangle Are 90 Degrees?įor a pair of opposite sides of a rectangle, their adjacent sides are transversals, which results in the property that the two consecutive angles are supplementary, that is, they add up to 180°. What Type of Angles Does a Rectangle Have?įor a pair of opposite sides of a rectangle, the adjacent sides are transversals, which results in the property that the two consecutive angles are supplementary, that is, they add up to 180°. Thus, being a quadrilateral, the sum of its interior angles equals 360°. What Is the Sum of the Interior Angles of Rectangle?Ī rectangle is a type of quadrilateral having both pairs of opposite sides equal. Since a rectangle has four angles of equal measure, the measure of each must be 360/4, or 90 degrees. 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.

    finding length of diagonal of a 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 of a rectangle are of equal length and they bisect each other.










    Finding length of diagonal of a rectangle