# Triangle

## Median of equilateral triangle are equal

In this chapter we will prove that median of equilateral triangle are equal in length. Given below is an equilateral triangle in which AB = BC= CA Lines AD, BE & CF are the medians of the triangle. Median divide the side into equal halves.AF = FBBD = DCAE = EC To prove:All the medians …

## Questions on exterior angle of triangle

In this chapter we will discuss questions related to exterior angle theorem of triangle. All the questions are to the standard of grade 09. Question 01Observe the below image carefully and find value of all internal angle of triangle ABC. SolutionConsider the straight line EC.We know that in straight line, sum of all adjacent angle …

## Questions on triangles & its angles

Given below are collection of questions related to triangle and its angles with detailed solution. All the questions are to the standard of grade 09. Question 01Given below is triangle ABC with ∠A = 55 and ∠B = 40 degree. Find the measure of ∠C. SolutionWe know that sum of all internal angle of triangle …

## Median of Right triangle property

The property states that ” in right triangle, the length of median that touches hypotenuse is half of the length of hypotenuse “. Consider the above right triangle ABC in which ∠ABC = 90 degree. Here BM is the median of triangle which divide the hypotenuse into two equal parts, AM = MC. According to …

## Converse of midpoint theorem

In this chapter we will discuss the converse of midpoint theorem and its proof. What is midpoint theorem converse ? It states that in a triangle, the line joining the midpoint of one side and parallel to another side will definitely bisect the third side. For example, consider the above triangle ABC. The point M …

## Midpoint theorem of triangle with proof

In this chapter we will discuss midpoint theorem of triangle along with the proof. What is midpoint theorem of triangle ? It states that any line joining the mid point of two adjacent sides of triangle is parallel to third side and has half of the length. In the above triangle ABC, M & N …

## Sum of two sides of triangle is greater than twice the median

In this chapter we will prove one of the universal law of triangles that states that ” the sum of two sides of triangle is always greater than twice the median “. The below proof is important as it is directly asked in math exams. So make sure you understand the below steps. Given:Given above …

## Prove that difference of two sides of triangle is less than third side

In this chapter we will prove universal concept of triangle that ” difference of any two side is always less than the third side “. The below proof is important and is directly asked in the exams so make sure you understand the steps. Given;Given above is the triangle ABC. Construction;Construct line BM that meet …

## Prove that sum of two sides of triangle is greater than third side

In this chapter we will prove one of the universal law of triangle that ” sum of two side is always greater than third side “. The proof is very important as it is directly asked in mathematics exams, so make sure you understand and remember the steps; Given;Given above is the triangle ABC. To …

## Side opposite to greater angle is longer

In any given triangle, the side opposite to greater angle is always greater. In this chapter, we will prove the above theorem using two methods. This is an important theorem on triangle, so make sure you understand and remember the concept for examination purpose. Method 01 Given:Given above is the triangle ABC in which ∠ABC …

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