Formula of Altitude of Triangle and Its Use in Solving Exam Questions
BY Team Aakash Byju's
Solve Questions in Exam Altitude of a Triangle Formula & How to Use It
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Altitude of a Triangle
The altitude of a triangle is the perpendicular line segment drawn from the vertex of the triangle to its opposite side.
Properties of Altitude of Triangle
Three altitudes are possible in a triangle.
In a triangle, the altitudes can be inside or outside, depending on the type of a triangle.
The altitude forms an angle of 90° with the opposite side.
In a triangle, the point of intersection of the three altitudes is called the Orthocenter of the triangle.
Altitude of a Triangle Formula
Altitudes of different types of triangles
Altitude of a Scalene Triangle
Where a, b, c are the sides of the triangle
s is the semi perimeter.
Altitude of an Equilateral Triangle
Where 'a' is a side of a triangle.
Altitude of a Right angle Triangle
Altitude of an Isosceles Triangle
Example:
Calculate the length of the altitude of a triangle drawn from vertex A, whose sides a,b.c are 8 feet, 7 feet, 9 feet respectively.
Example:
Hope this helps. All the best.