![]() The SquareĪ square has equal sides (marked "s") and every angle is a right angle (90°)Ī square also fits the definition of a rectangle (all angles are 90°), and a rhombus (all sides are equal length). The little squares in each corner mean "right angle"Ī rectangle is a four-sided shape where every angle is a right angle (90°).Īlso opposite sides are parallel and of equal length. Let us look at each type in turn: The Rectangle Some types are also included in the definition of other types! For example a square, rhombus and rectangle are also parallelograms. ![]() There are special types of quadrilateral: They should add to 360° Types of Quadrilaterals Try drawing a quadrilateral, and measure the angles. interior angles that add to 360 degrees:.Subtract (ii) from (i) and multiply the difference by 1/2.(Also see this on Interactive Quadrilaterals) Properties Now, consider the dotted arrows and add the diagonal products, i.e., x 2 y 1, x 3 y 2, x 4 y 3, and x 1 y 4. Study the directions given in the dark arrows, and add the diagonal products, i.e., x 1 y 2, x 2 y 3, x 3 y 4, and x 4 y 1. To calculate the area of the quadrilateral ABCD using the given vertices, So, we first choose the vertices A(x 1, y 1 ), B(x 2, y 2 ), C(x 3, y 3 ) and D(x 4, y 4 ) of the quadrilateral ABCD in an order (counterclockwise direction) and write them column-wise format as it is shown below.’ Let A(x 1, y 1 ), B(x 2, y 2 ), C(x 3, y 3 ) and D(x 4, y 4 ) be the vertices of a quadrilateral ABCD. In coordinate geometry, the area of the quadrilateral can be calculated using the vertices quadrilateral. Where “s” is the semi-perimeter of the quadrilateral.Īlso Read – Absolute Value Formula Area of Quadrilateral with Vertices If the sides of a quadrilateral (a, b, c, d) is already given, and two of its opposite angles (θ 1 and θ 2 ) are given, then the area of the quadrilateral can be calculated as follows: Step 3: Now add the area of the two triangles to get the area of the quadrilateral. square units Where “s” is the semicircle of the triangle equal to (a b c)/2. Step 2: Now apply Heron’s formula to each triangle to find the area of the quadrilateral. Step 1: Divide the quadrilateral into two triangles using a diagonal whose diagonal length is known. Follow the given procedure to find the area of a quadrilateral. The formula of Heron is used to calculate the area of a triangle given the three sides of the triangle. are special types of quadrilaterals with equal sides and angles.Īlso Read – Linear Equation Formula Area Of Quadrilateral Using Heron’s Formula ![]() However, squares, rectangles, parallelograms, etc. A quadrilateral usually has sides of different lengths and angles of different lengths.The sum of its interior angles is 360 degrees.Each quadrilateral consists of 4 points and 4 sides surrounding 4 angles.Hence, the area of the quadrilateral formula, when one of the diagonals and the heights of the triangles (formed by the given diagonal) are given, is,Īrea = (1/2) × Diagonal × (Sum of heights) The area of the quadrilateral ABCD = Sum of areas of ΔBCD and ΔABD. The area of the triangle ABD = (1/2) × d × h2 The area of the triangle BCD = (1/2) × d × h1 On finding the areas of the given triangles separately, we get that Hence, there exist different forms of quadrilaterals depending on their sides and angles.įrom the above figure, we have two triangles namely BCD and ABD ![]() It is not compulsory that all four sides of a quadrilateral should be of equal in length. Sometimes it is also known as tetragon, taken from the Greek word “tetra”, which also means four, and “gon” means corner or angle.Ī quadrilateral is made by simply joining the four non-collinear points and the very important thing to remember about the quadrilateral is that the sum of its interior angles is always equal to 360 degrees. Basically, the word quadrilateral is derived from the Latin words “quad”, which means a variant of four, and “latus”, which means side.
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