Solved Examples on Altitude of triangle
Problem 1: Find the altitude of a right triangle whose base is 6 units and height is 8 units.
Solution:
Use the formula of a right triangle’s altitude: Altitude = (Base × Height) / Hypotenuse Altitude = (6 × 8) / Hypotenuse
Hypotenuse = 10 units (from Pythagorean theorem)
Thus, Altitude = (6 × 8) / 10 = 4.8 units
Problem 2: Determine the altitude of an equilateral triangle with a side length of 12 units.
Solution:
Using the formula for an equilateral triangle’s altitude: Altitude = (Side × √3) / 2
Altitude = (12 × √3) / 2 = 6√3 units
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.