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 .

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