In this video, let's discuss what we mean with Altitude's of a triangle.
Let me take an example over here.
I have Triangle ABC.
Now let's find out the height of point A from ABC.
All right, and remember, whenever we find the height, we find the perpendicular distance.
All right.
Now, let me extend back over here and let me draw a perpendicular line from point A to this line over
here.
So that would look like this and let it meet this spot over here at point deep.
Now, Angle EDB is equal to 90 degrees because we have constructed it in this manner.
Now, over here, you can see it is perpendicular to B.C., all right.
Therefore, it is the height and that is what we call an altitude.
So what is an altitude and altitude is a perpendicular dropped from the vertex to the opposite side.
So from Vertex A, I have dropped a perpendicular line which is perpendicular to side B.C..
Right.
And that is the altitude through it.
Now, is there only one altitude that can be drawn for this triangle?
No, there are three vertices right there for three altitudes can be drawn for this triangle ABC.
Let's draw the other two altitudes over here.
You can see that through Vertex B, I have dropped A perpendicular to the opposite side that is perpendicular
to AC.
This angle over here is 90 degrees.
Therefore, BP is also an altitude.
Similarly, you can see through Vertex C, I have dropped A perpendicular to side B, right.
And CQ therefore is also an altitude.
So I have three altitudes for this triangle that's 80 over here, B over here and see you over here.
Now if I have a triangle ABC over here, what would be the altitude through it that would be like this
right over here.
It is the altitude.
So an altitude could be inside the triangle or sometimes it can be outside the triangle will see when
it will always be outside.
But in this case, you have an example where it is inside and over here you have seen it is outside
the triangle.
So let's quickly revise what is an altitude of a triangle.
It is a perpendicular dropped from vertex to the side opposite to the verdicts over here through air.
We have dropped and perpendicular to Sayyid Qutb.
And it is the altitude or the height.