In this chapter we will prove that in a triangle, a median divides it into two triangle of equal area. Given:Given below is the triangle ABC in which AD is the median.Also AN is the altitude of the triangle To Prove:Median AD divide the triangle into two equal parts.i.e. Area (ABD) = Area (ADC) Proof:Consider …
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According to this theorem ” two triangles having the same base and lies between the same parallel lines are equal in area” In the above figure;ABC and PBC are the two triangles having same base BC.Also, both the triangles lies between the same parallel lines. To Prove:Area ( ABC ) = Area ( PBC ) …
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In this chapter we will solve questions related to congruent triangles. All the questions are to the standard of grade 09 math. Question 01Given below is the triangle in which TR = TS. Also ∠1 = 2 (∠2) and ∠4 = 2 (∠3). Prove that triangle RBT and SAT are congruent. Solution∠1 = ∠4 (vertically …
Given below are collection of questions related to congruent triangles. All the questions are to the standard of grade 9. Question 01In below figure, AB = AD and EA = AC. Prove that line ED is parallel to BC. SolutionConsider ▵ABC and ▵ABC; AB = AD∠BAC = ∠EAD ( vertically opposite angle)EA = AC By …
In this chapter we will solve questions related to angle sum property of triangle. All the questions are to the standard of grade 09. Question 01Given below is the image of triangle PQR in which line QT perpendicular to side PR. Find the measure of angle x and y. SolutionConsider triangle QTR.We know that sum …
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Given below is the collection of questions related to remainder theorem of polynomial. All the questions are to the standard of grade 09. Question 01Consider the two functions f(x) and g(x); f(x) = g(x) = 1 – 2x Find the remainder when f(x) is divided by g(x). SolutionLet’s first find the root of g(x) 1-2x …
In this chapter we will learn to find remainder when one polynomial is divided by another polynomial. What is remainder theorem of polynomial ? Let f(x) and g(x) are two polynomials. Suppose we divide f(x) by g(x). According to the remainder theorem, if we put root of polynomial g(x) on f(x), the final number we …
Given below is collection of questions related to factorization of polynomial. All the questions are provided with detailed solution. The questions are to the standard of grade 09 math. Question 01Find the value of given polynomial for f (2) and f (-3).f(x)= SolutionLet’s first calculate the value of f(2). Putting the value of 2 in …
Problems on factorization – set 01 Problems on factorization – set 02 Problems on factorization – set 03 Next chapter : Factorization of polynomials
In this chapter we will learn to simplify fraction whose denominator contain numbers with roots like square root or cube root. By rationalization we mean to simplify the number by removing square root from the denominator. Here we will rationalize two types of numbers;(a) Denominator is monomial(b) Denominator is binomial ( contain 2 elements) Let’s …