﻿ Definition and examples altitude of a triangle | define altitude of a triangle - geometry - Free Math Dictionary Online

# Altitude of a Triangle

## Definition of Altitude of a Triangle

Altitude of a Triangle is the perpendicular distance from any of its vertices to the opposite side. (This opposite side of the vertex is called the base of the altitude.)

### More about Altitude of a Triangle

• As a triangle has 3 vertices, it has 3 altitudes.
• Altitudes can be used to find the area of the triangle.

### Examples of Altitude of a Triangle

In the triangle ABC, AD is the perpendicular distance drawn from vertex A to the side BC. So, AD is the altitude of the triangle.

### Solved Example on Altitude of a Triangle

#### Ques: Which of the figures shows an altitude of the triangle drawn?

##### Choices:
A. Figure 1
B. Figure 2
C. Figure 3
D. none of these

#### Solution:

Step 1: Altitude of a triangle is the perpendicular distance from one of its vertices to its opposite side.
Step 2: The line drawn in Figure 3 from D to EF shows the perpendicular distance between D and EF.
Step 3: So, Figure 3 shows an altitude of the triangle drawn.

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