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

    example 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.

Video Examples: Altitude of a Triangle - MathHelp.com - Geometry Help


Solved Example on Altitude of a Triangle

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

    example of Altitude of a Triangle
    Choices:
    A. Figure 1
    B. Figure 2
    C. Figure 3
    D. none of these
    Correct Answer: C

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.