# Geometry Formulas for CAT

Geometry is a necessary topic of quantitative aptitude in not only CAT but numerous other competitive exams. In this post, we are going to discuss various properties of triangles and geometry basics for CAT. It is necessary to be strong in geometry basics for CAT since this is the basis of a good score in geometry in the Quantitative aptitude section of CAT.

## Triangle Theory in Geometry: Basics for CAT

The triangle is a very necessary and the simplest closed 2-dimensional figure. We come across triangles in every class throughout our school journey. Every year, there was something new to understand about triangles. The triangle is a major part of the geometry part of any class.

### The Triangle

A triangle is a polygon consisting of 3 sides and 3 vertices. A triangle is drawn by joining 3 points that must be non-collinear, otherwise, it would become a straight line. There are 3 internal angles whose total is 180 degrees, and the sum of exterior angles is 360 degrees. There are various types of triangles. They are categorised based on the measurement of sides and angles. There is also a comparison between two triangles such as congruency, similarity, etc.

## Classification of Triangles

The triangle is divided into two different types:

### Equilateral Triangle

When you talk about the equilateral triangle, the length of all three sides is equal. Thus, all three angles are also equal i.e. 60º

Area of equilateral triangle = √3/4*(side)2 where ‘side’ is the length of the side.

### Isosceles Triangle

In an isosceles triangle, the length of the two sides is equal and one is different. Furthermore, the angles corresponding to these sides are also equal.

AREA = ½ x base x height

## List of Quant for CAT Syllabus

Here is a table given below for list of quant syllabus for CAT:

## FAQs

What are the basics of geometry?

Geometry analyses shapes that are all closed by arcs or line segments. Two-dimensional figures, like squares and rectangles, have just two dimensions, length and width. Three-dimensional figures are too closed and are determined by length, width, and height.

What do you understand by the geometry chapter?

Geometry is the branch of mathematics that deals with shapes, angles, dimensions and sizes of a variety of things we see in day-to-day life. Geometry is derived from Ancient Greek words – ‘Geo’ points ‘Earth’ and ‘metron’ means ‘measurement’.

What formula is considered for cat probability?

CAT Probability or Chance Probability is a quantitative measure of the possibility of a particular event occurring. PE=n(E)/n(S), where n(E) = a number of favourable events; n(S) = sample space.

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