## How to Define Altitude

In mathematics, altitude is a geometry word. It is defined as the height of an object or point in relation to sea level or ground level. In geometry, it is defined as the length of the perpendicular line from a vertex to the opposite side of a figure. Altitude is also known as height. It is the measurement of someone or something from head to foot or from base to top. It is said to be the elevation above ground. It is the height of an object above the horizon. Altitude has several definitions.

Altitude is used to find the area of a triangle. Altitude of a triangle is defined as the perpendicular line or line which passes to the base of a triangle and must be at right angle to the opposite sides. Area of a triangle is defined as the total space occupied by the surface of a triangle and area of a triangle is given by:

= &frac12; x base x altitude

Here, altitude is the length of the perpendicular line from the base to the opposite side of a triangle.

There are two conditions which should satisfy to find the altitude of a triangle:

1. Altitude must starts from a vertex.

2. Altitude must be perpendicular to the base of a triangle or a side of a triangle.

We don’t have altitude in square and rectangle because altitude is one of the sides of the figure.

Altitude is also useful in Factoring Polynomials Calculator.

Example:

Question:

Calculate the area of a triangle if base = 5 inch and altitude = 10 inch?