Quant Ready Recokner-The ultimate formula booklet

Relation between Sides and Angles:

A triangle has six components, three sides and three angles. The three angles of a ΔABC are denoted by letters A, B, C and the sides opposite to these angles by letters a, b and c respectively.

A + B + C = 180º = (or π)

a + b > c, b + c > a, c + a > b

|a – b| < c, |b – c| < a, |c – a| < b

The Law of sines or sine Rule:

The sides of a triangle are proportional to the sines of the angles opposite to them i.e., (a/sin A) = (b/sin B) = (c/sin C) = k, (say)

Notes and Important Points on Probability - Quantitative Aptitude

Definitions of Various Terms:

(1)    Sample space:

The set of all possible outcomes of a trial (random experiment) is called its sample space. It is generally denoted by S and each outcome of the trial is said to be a sample point.

(2)   Event:

An event is a subset of a sample space.

Solution of a right angled triangle:

(i) When two sides are given: Let the triangle be right angled at C. Then we can determine the remaining elements as given in the following table.

(ii) When a side and an acute angle are given: In this case, we can determine the remaining elements as given in the following table

Solution of a triangle in general:

(i)     When three sides a, b and c are given: