Skip to main content

Altitude of an equilateral triangle

What is altitude in a triangle ?

The altitude or height of a triangle is the line segment from a vertex that is perpendicular to the opposite side or base.

Altitude of an equilateral triangle

It is interesting to note that in an equilateral triangle , the altitude bisects the angle as well as the opposite side.

Example -


In the example above , a triangle is given which is an equilateral triamgle as all it's sides are equal (each 5cm).

AD is the perpendicular drawn from vertex A to the base BC.

Therefore, BD=BC and angle BAD is equal to angle CAD

Because in an equilateral triangle , the altitude bisects the angle and the opposite side .

Comments

Popular posts from this blog

Is Maldives a neighbouring country of India?

Maldives is an island country which is located in the Indian Ocean. Hence, it has no land connections or shares with India but has sea borders as Sri Lanka has. Therefore, Maldives and Sri Lanka both countries share maritime borders with India

India's neighbouring countries

Neighbouring countries of India with population and area cover- India has land borders with seven countries and maritime borders with two countries. These are as follows-  Countries with land borders-        1. Pakistan 2. Afghanistan 3. China 4. Nepal 5. Bhutan 6. Bangladesh 7. Myanmar Countries with sea borders- 1. Maldives 2. Sri Lanka We will discuss about area, population, capital, form of government and currency of each neighbouring country. First , we will discuss about countries that share land borders with India. 1. Pakistan Pakistan covers area of 881,913 square kilometers and area wise it is the 33rd largest country in the world. It is one of the populous countries with 212.2 million population. Capital- Islamabad Currency- Pakistani rupee Form of government- Federal Republic 2. Afghanistan Afghanistan shares shortest land border with India in Jammu & Kashmir (POK part). It covers an area of about 652,230 square kilometers and has population of 3.72 crores. C

cyclic quadrilateral

What is a cyclic quadrilateral? A cyclic quadrilateral is a four-sided polygon whose all vertices lie on the circumference of a circle( i.e. inscribed in a circle). The radius and centre of this circle is circumradius and circumcentre respectively. The word cyclic comes from Ancient greek word ( kuklos) which means "circle" or "wheel". Properties of cyclic quadrilateral- 1. Opposite angles of a cyclic quadrilateral are supplementary which means that the sum of their opposite angles is equal to 180°. 2. If one side of a cyclic quadrilateral is produced, then the exterior angle so formed is equal to the opposite interior angle.