In a rhombus, opposite angles are equal and adjacent angles are supplementary. In the above figure, we have a kite ACBD and a rhombus ABCD. Let us go through the table below highlighting the main differences between a kite and a rhombus: KITEĪ kite has two pairs of equal adjacent sides.Ī kite has one pair of equal opposite angles. The diagonals of a rhombus bisect each other at right angles. On the other hand, in a rhombus, all four sides are equal, opposite angles are equal and adjacent angles are supplementary. The longer diagonal of a kite bisects the pair of opposite angles. It has one pair of opposite equal angles and the longer diagonal bisects the shorter diagonal. Subtract (ii) from (i) and multiply the difference by 1/2.What is the Difference Between Kite and Rhombus?Ī kite is a quadrilateral with two pairs of adjacent equal sides. 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. What is the formula for the area of the quadrilateral?Ī Quadrilaterals Formula is a four-sided closed figure and it is also a type of polygon that has four edges, four angles, and four corners or vertices.List out the different types of quadrilaterals.Mention the applications of quadrilaterals.Area Of Quadrilateral Using Heron’s Formula.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |