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In this video, let's discuss what we mean with Altitude's of a triangle.

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Let me take an example over here.

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I have Triangle ABC.

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Now let's find out the height of point A from ABC.

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All right, and remember, whenever we find the height, we find the perpendicular distance.

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All right.

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Now, let me extend back over here and let me draw a perpendicular line from point A to this line over

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here.

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So that would look like this and let it meet this spot over here at point deep.

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Now, Angle EDB is equal to 90 degrees because we have constructed it in this manner.

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Now, over here, you can see it is perpendicular to B.C., all right.

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Therefore, it is the height and that is what we call an altitude.

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So what is an altitude and altitude is a perpendicular dropped from the vertex to the opposite side.

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So from Vertex A, I have dropped a perpendicular line which is perpendicular to side B.C..

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Right.

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And that is the altitude through it.

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Now, is there only one altitude that can be drawn for this triangle?

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No, there are three vertices right there for three altitudes can be drawn for this triangle ABC.

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Let's draw the other two altitudes over here.

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You can see that through Vertex B, I have dropped A perpendicular to the opposite side that is perpendicular

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to AC.

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This angle over here is 90 degrees.

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Therefore, BP is also an altitude.

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Similarly, you can see through Vertex C, I have dropped A perpendicular to side B, right.

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And CQ therefore is also an altitude.

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So I have three altitudes for this triangle that's 80 over here, B over here and see you over here.

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Now if I have a triangle ABC over here, what would be the altitude through it that would be like this

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right over here.

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It is the altitude.

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So an altitude could be inside the triangle or sometimes it can be outside the triangle will see when

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it will always be outside.

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But in this case, you have an example where it is inside and over here you have seen it is outside

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the triangle.

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So let's quickly revise what is an altitude of a triangle.

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It is a perpendicular dropped from vertex to the side opposite to the verdicts over here through air.

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We have dropped and perpendicular to Sayyid Qutb.

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And it is the altitude or the height.