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

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.