[Maths Class Notes] on Altitude of a Triangle Pdf for Exam

The altitude of a triangle is used to calculate the area of a triangle. Every triangle has three altitudes. Using the altitude of a triangle formula we can calculate the height of a triangle. 

The altitude of a Triangle Formula can be expressed as:

[text{Altitude}= frac{(2 times text{Area})}{text{Base}}]

where,

The area is the area of a triangle and the base is the base of a triangle

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According to different measures of different triangles, there are different types of altitudes of a triangle:

1. The altitude of an Obtuse triangle 

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2. The altitude of the Equilateral Triangle 

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3. The altitude of a Right Triangle formed by altitude on hypotenuse 

()

What is Signified by the Vertex of a Triangle?

The vertex or the vertices are the corners of a particular triangle. Since a triangle has three corners, that is why the vertices earthquake in numbers. The vertices of a triangle refer to the perpendicular line that can be drawn from the base or the middle point of the base to the opposite corner of the triangle. In the case of equilateral triangles, the length of all the sides is equal. 

That is why, in case of equilateral triangles, the line segment that is perpendicular from the middle point of the base of the triangle to the opposite vertex can be drawn from anywhere. But in case of an isosceles triangle, the line segment must be drawn from the base of the triangle to the opposite corner and in this case, the base will be the side of the triangle that is not equal in length to the other sides of the triangle.

How is the Concept of Elevation and Altitude Comparable?

The concept of elevation is included in the subject of geography and it refers to the height of a particular place from the sea level. Altitude can sometimes mean the same and generally refers to the distance or height of a particular place from the earth’s surface. The concept of altitude can be introduced in geography, physics and mathematics as well and it can denote different things depending on the subject.

How to Solve the Equations and Understand the Concept of Altitude?

Understanding a particular concept demands the full concentration of the students. To understand the concept of altitude, the students must get familiarized with the different kinds of triangles. Since the idea of altitude depends on the type of triangle and the length of the three sides of the triangle, it is better for the students if they can understand the concept of different types of triangles.

They can refer to other text books and reference books as well to get a detailed understanding of the topic. They can also refer to the books of other subjects to get an idea how the concept is associated. They can also try to analyze the concepts in their minds to understand the properties of altitude.

Since this concept is very important and they may expect questions related to the chapter on altitude, they can try solving the mock papers and question papers and get familiarized with the pattern of questions they may need to deal with, in the examinations. The most important thing that they should remember is to learn time management skills. If they are asked to elaborate the concept of altitude in the examinations, they need to draw proper diagrams and also write the concept in the proper language. The diagrams will make the process of understanding the concept easier for them. In the end, they should also get detailed information of the various types of altitude like the density, true, absolute altitude etc.