Perpendicular from vertex to the opposite side of the triangle is the altitude of the triangle.

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Here, AP ⊥ BC

So, AP is the altitude of ∆ABC

We also sometimes call altitude as height of triangle.

 

Similarly, we can draw altitude from point B.

Altitude of a triangle - Part 2

Here, BQ ⊥ AC

So, BQ is the altitude of ∆ABC

 

Similarly, we can draw altitude from point C.

Altitude of a triangle - Part 3

Here, CR ⊥ AB

So, CR is the altitude of ∆ABC

 

So, altitudes of ∆ABC can be,

Altitude of a triangle - Part 4

 

For an obtuse angled triangle ∆ABC

Altitude of a triangle - Part 5

Altitudes are

Altitude of a triangle - Part 6

Now,

In a right angled triangle. ∆ABC

Altitude of a triangle - Part 7

Altitudes are

Altitude of a triangle - Part 8

So, right angled triangles has 3 altitudes in it

2 are it’s own arms

  1. Chapter 6 Class 7 Triangle and its Properties
  2. Concept wise

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.