How Do You Find The Angle Of An Isosceles Triangle Theorem: Angles opposite to equal sides of an isosceles triangle are equal. Given: In ∆ABC, AB = AC To Prove: ∠B = ∠C Construction: Draw AD, bisector of ∠A ∴ ∠1 = ∠2 Proof: In ∆ADB & ∆ADC AD = AD   …

Cross Multiplication Method For Solving EquationsBy the method of elimination by substitution, only those equations can be solved, which have unique solution. But the method of cross multiplication discussed below is applicable in all the cases; whether…

Multiplying and Dividing Complex NumbersMultiplication:Multiplying two complex numbers is accomplished in a manner similar to multiplying two binomials. You can use the FOIL process of multiplication, distributive multiplication, or your personal favorit…

How To Find Area Of Rhombus(1) If both diagonals are given (or we can find their length) then area = \(\frac { 1 }{ 2 }\) (Product of diagonals) (2) If we use Heron’s formula then we find area of one triangle made by two sides and a diagonal then twice …

Arithmetic Sequences and SeriesA sequence is an ordered list of numbers. The sum of the terms of a sequence is called a series. Read More:What is the pattern of numbers?SequencesWhile some sequences are simply random values, other sequences have a defin…

The Binomial TheoremYou are faced with the problem of expanding \((x+y)^10\) . What to do??? Do you really have to multiply this expression times itself 10 times?? That could take forever. Let’s investigate:When binomial expressions are expanded, is ther…

PRIME FACTORISATIONPrime factorisation is the process by which a composite number is rewritten as the product of prime factors. Example 1: Find out the prime factorisation of 30. First we will see whether the given number is divisible by a least prime nu…

Composition of Functions (f o g)(x)The term “composition of functions” (or “composite function”) refers to the combining of functions in a manner where the output from one function becomes the input for the next function. In math terms, the range (the y…

Area of Triangle and Parallelogram Using TrigonometryWe are all familiar with the formula for the area of a triangle, A = 1/2 bh , where b stands for the base and h stands for the height drawn to that base. In the triangle shown below, the area could be …

Distance Between Two PointsDistance Between Two Points Formula(1) Distance between two points on X-axis : The coordinate axes in the coordinate plane can be treated as number lines. If P(x1, 0) and Q(x2, 0) are two points on X-axis, the distance between …