Three-Dimensional Geometry

Area of Pentagon

The Pentagon belongs to the Polygon family of Geometric Shapes. The word “Pentagon” derives its origins from the Greek Word “Pentagonos”. The word “Pentagonos” means five-angled”. The pentagon can be defined as a two-dimensional closed geometric shape with five vertices connected by five sides. Now we will look at the figures of both The regular […]

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Class 12, IIT JEE, Lines and planes in space, Maths, Three-Dimensional Geometry

Area of Scalene Triangle

We know that a triangle is a closed figure having 3 sides and 3 angles. Triangles come in a variety of shapes and sizes. All three sides of some of these triangles are the same length, two sides are the same length, and all three sides are different lengths in others. A scalene triangle is

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Class 12, IIT JEE, Lines and planes in space, Maths, Three-Dimensional Geometry

Area of Similar Triangle

Similar figures are geometric forms that have the same shape but differ in size. If the respective angles are equal and the corresponding sides are proportionate, two triangles are said to be similar. The two requirements in the above definition are mutually exclusive. If one of the two conditions is true, the other is true

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Class 12, IIT JEE, Lines and planes in space, Maths, Three-Dimensional Geometry

Area of Sphere

In geometry, a sphere is a three-dimensional representation of the circle, which is represented in two dimensions by a circle. A sphere is a collection of points in three-dimensional space that are all at the same distance r from a given point in the space. The supplied point is the center of the sphere, and

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Class 12, IIT JEE, Lines and planes in space, Maths, Three-Dimensional Geometry

Area Perimeter Formula

Area and perimeter are the most important aspects of 2D mensuration. We use it in many applications in our daily life. Areas is the space that is covered by a flat shape and perimeter is the boundary of any shape. We find area when we have to calculate the inside region of anybody and we

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Class 12, IIT JEE, Lines and planes in space, Maths, Three-Dimensional Geometry

Arithmetic mean: properties, merits and demerits

Recommended links: JEE Main College Predictor 2024 JEE Main 2024 Result Session 2 Achieve your IIT dreams with Unacademy Enter your JEE Advanced Application Number Enter DOB Enter your Phone Number I agree to Unacademy’s Terms & Privacy Policy Submit Predict Your JEE Main Rank Here Arithmetic Mean: This is a value calculated by adding

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Class 12, IIT JEE, Lines and planes in space, Maths, Three-Dimensional Geometry

Bisector

The term bisector is divided into two parts. First, there’s the prefix ‘bi,’ which we already know stands for two! Second, there’s the root word sector.’ Consider the term sector’ to refer to a section of anything. So, by combining the meanings of the prefix with the base word, we may deduce the meaning of

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Class 12, IIT JEE, Lines and planes in space, Maths, Three-Dimensional Geometry

Brief Analyses on Angle Bisector Theorem

According to the angle bisector theorem, a triangle’s opposite side is divided into two segments that are proportional to the triangle’s other two sides. The ray that divides a given angle into two equal halves is known as an angle bisector of the given angle. In this post, we’ll study more about the angle bisector

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Class 12, IIT JEE, Lines and planes in space, Maths, Three-Dimensional Geometry

Brief Analyses on Concurrent Lines in a Triangle

Concurrent lines are three or more than three lines in a plane that passes through the same point. A point of intersection is formed whenever two non-parallel lines meet. These three lines are considered to be concurrent when a third line likewise passes through the point of junction formed by the first two lines. The

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Class 12, IIT JEE, Lines and planes in space, Maths, Three-Dimensional Geometry

Brief Analyses on Locus of Points

Introduction: A locus is derived from the Latin word which means “place”, “location”. The locus can be defined as the collection of all points (usually a line, a line segment, a curve, or a surface) whose placement fulfils or is defined by one or more stated conditions in geometry. In other terms, the collection of

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Class 12, IIT JEE, Lines and planes in space, Maths, Three-Dimensional Geometry