Altitude of an Isosceles Triangle
Altitude (h) = sqrt(a^2 – 1/4 * b^2)
The following are the Derivation for Altitude of Obtuse Triangle:
- Triangle has two equal sides.
- Altitude is perpendicular bisector of the base.
- Using Pythagoras theorem in △ADB: h^2 = a^2 – (1/2 * b)^2.
- Simplifying gives h = sqrt(a^2 – 1/4 * b^2).
- Formula: ℎ= h = √(Leg2 – (Base / 2)2)
- ℎh: Altitude.
- a,b: Equal lengths of the isosceles sides.
- c: Length of the unequal side.
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.