Altitude of a Triangle Properties
The following are the properties of Altitude of Triangle:
- Perpendicularity: An altitude is always perpendicular to its respective base.
- Intersection at a Point: In triangles, altitudes intersect at a common point which is called the orthocenter.
- Length Relationships: In isosceles triangles, the altitude divides the base and opposite angle, resulting in two congruent right triangles.
- Area Computation: The product of the base and altitude of a triangle and its area is divided by 2.
Orthocenter: Intersection of Altitudes of a Triangle
The orthocenter of a triangle is the point where all three altitudes (also known as perpendiculars) of the triangle intersect.
Note:
- In an acute-angled triangle, the orthocenter lies inside the triangle.
- In Right-angled triangle, the orthocenter lies at the vertex containing the right angle.
- In an obtuse-angled triangle, the orthocenter lies outside the 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.