Altitude of an Equilateral Triangle
- An equilateral triangle has all sides equal.
- The altitude splits the triangle into two congruent right-angled triangles.
- Using Pythagoras theorem, if s is the side length, then h=2√s(s−a)(s−b)(s−c)/b .
- Simplifying gives ℎ=√3/2 X s
- Formula: h = (Side × √3) / 2
- h: Altitude.
- Side length: Length of any side in the equilateral triangle.
Altitude of Triangle – Definition, Formulas, Examples, Properties
The Altitude of a triangle is the length of a straight line segment drawn from one of the triangle’s vertices (corners) perpendicular to the opposite side.
It’s like measuring the height of the triangle from a specific point to the base. The altitude is a fundamental concept in geometry and is often used to calculate the area of a triangle.
In this article, we have covered the Altitude of a Triangle, its Properties, the Altitude of each type of triangle, How to find Altitude, and many more in simple way.
Let’s dive right in.