The area of a Parallelogram is the space or the region enclosed by the boundary of the parallelogram in a two-dimensional space. It is calculated by multiplying the base of the parallelogram by its height. In this article, we will learn more about the Area of Parallelogram Formulas, and how to use them with the help of examples....
Vertically Opposite Angles, also called Vertical Angles; are angles that stand across from each other when two lines intersect. Imagine two straight lines crossing like a giant letter ‘X.’ The angles formed on opposite sides of this intersection are called vertically opposite angles. These angles share a unique relationship – they are equal to each other. So, if you know the measurement of one vertically opposite angle, you automatically know the size of the other....
Exterior Angle Theorem is one of the foundational theorems in geometry, as it describes the relationship between exterior and interior angles in any triangle. An Exterior Angle is formed when any side of a polygon is extended to one side. In simple terms, an Exterior Angle is an angle that exists outside the boundaries of the polygon but shares a vertex with the polygon....
Parallel and Perpendicular Lines are two sides of one coin. Perpendicular lines are intersecting lines, whereas parallel lines never intersect. Parallel lines in geometry are lines that never intersect and are always at the same distance from each other. On the other hand, perpendicular lines are lines that intersect each other at a right angle, forming a 90° angle. In this article, we will discuss these in detail, including examples and differences....
Hypotenuse Formula or Hypotenuse Theorem Formula is another name for Pythagoras Theorem. Hypotenuse Formula is used to calculate the third side of the right-angled triangle given the other two sides. Hypotenuse Formula can be defined as a relation among the three sides (hypotenuse, base, perpendicular) of a right-angled triangle. Hypotenuse Formula states that the sum of squares of two small sides(base and perpendicular) is equal to the square of the longest side (hypotenuse)....
Given an integer K, and two arrays X[] and Y[] both consisting of N integers, where (X[i], Y[i]) is a coordinate in a plane, the task is to find the total number of pairs of points such that the line passing through them has a slope in the range [-K, K]....
Centroid is a geometric point that represents the center of mass or the average position of all points in a shape or object, often used in mathematics, physics, and engineering for various analytical purposes. Centroid always lies within the figure and is not only related to triangles; it can be determined for every geometric figure as well....
Given an array arr[] consisting of N positive integers and two integers X and Y, the task is to check if it is possible to reach (X, Y) from (0, 0) such that moving to (Xf, Yf) from (Xi, Yi) is allowed only if the euclidean distance between them is present in the array arr[]. If it is possible, then print Yes. Otherwise, print No....
In this article, we have covered solutions to exercise 11.2 of chapter chapter 11 – Three Dimensional Geometry Exercise for class 12 Mathematics. Now let’s learn the same....
Geometry is a branch of mathematics concerned with the shape of individual objects, their spatial relationships, and the properties of surrounding space. It’s the study of items’ sizes, shapes, locations, angles, and measurements. From a tiny pin to a massive submarine, we are always surrounded by the geometry of various kinds and sizes. The shape and surface area of such forms must be evaluated in order to store them easily or suit the demands of those who will use them. In the subject of mathematics, such research or computation is given a specific name....
